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every number has its own significance.....................

0 is the additive identity.

1 is the multiplicative identity.

2 is the only even prime.

3 is the number of spatial dimensions we live in.

4 is the smallest number of colors sufficient to color all planar maps.

5 is the number of Platonic solids.

6 is the smallest perfect number.

7 is the smallest number of integer-sided rectangles that tile a rectangle so that no 2 rectangles share a common length.

8 is the largest cube in the Fibonacci sequence.

9 is the maximum number of cubes that are needed to sum to any positive integer.

10 is the base of our number system.

11 is the largest known multiplicative persistence.

12 is the smallest abundant number.

13 is the number of Archimedian solids.

14 is the smallest number n with the property that there are no numbers relatively prime to n smaller numbers.

15 is the smallest composite number n with the property that there is only one group of order n.

16 is the only number of the form xy=yx with x and y different integers.

17 is the number of wallpaper groups.

18 is the only number that is twice the sum of its digits.

19 is the maximum number of 4th powers needed to sum to any number.

20 is the number of rooted trees with 6 vertices.

21 is the smallest number of distinct squares needed to tile a square.

22 is the number of partitions of 8.

23 is the smallest number of integer-sided boxes that tile a box so that no two boxes share a common length.

24 is the largest number divisible by all numbers less than its square root.

25 is the smallest square that can be written as a sum of 2 squares.

26 is the only number to be directly between a square and a cube.

27 is the largest number that is the sum of the digits of its cube.

28 is the 2nd perfect number.

29 is the 7th Lucas number.

30 is the largest number with the property that all smaller numbers relatively prime to it are prime.

31 is a Mersenne prime.

32 is the smallest 5th power (besides 1).

33 is the largest number that is not a sum of distinct triangular numbers.

34 is the smallest number with the property that it and its neighbors have the same number of divisors.

35 is the number of hexominoes.

36 is the smallest number (besides 1) which is both square and triangular.

37 is the maximum number of 5th powers needed to sum to any number.

38 is the last Roman numeral when written lexicographically.

39 is the smallest number which has 3 different partitions into 3 parts with the same product.

40 is the only number whose letters are in alphabetical order.

41 is the smallest number that is not of the form |2x - 3y|.

42 is the 5th Catalan number.

43 is the number of sided 7-iamonds.

44 is the number of derangements of 5 items.

45 is a Kaprekar number.

46 is the number of different arrangements (up to rotation and reflection) of 9 non-attacking queens on a 9x9 chessboard.

47 is the largest number of cubes that cannot tile a cube.

48 is the smallest number with 10 divisors.

49 is the smallest number with the property that it and its neighbors are squareful.

50 is the smallest number that can be written as the sum of of 2 squares in 2 ways.

51 is the 6th Motzkin number.

52 is the 5th Bell number.

53 is the only two digit number that is reversed in hexadecimal.

54 is the smallest number that can be written as the sum of 3 squares in 3 ways.

55 is the largest triangular number in the Fibonacci sequence.

56 is the number of reduced 5 x 5 Latin squares.

57 = 111 in base 7.

58 is the number of commutative semigroups of order 4.

59 is the smallest number whose 4th power is of the form a4+b4-c4.

60 is the smallest number divisible by 1 through 6.

61 is the 6th Euler number.

62 is the smallest number that can be written as the sum of of 3 distinct squares in 2 ways.

63 is the number of partially ordered sets of 5 elements.

64 is the smallest number with 7 divisors.

65 is the smallest number that becomes square if its reverse is either added to or subtracted from it.

66 is the number of 8-iamonds.

67 is the smallest number which is palindromic in bases 5 and 6.

68 is the last 2-digit string to appear in the decimal expansion of .

69 has the property that n2 and n3 together contain each digit once.

70 is the smallest abundant number that is not the sum of some subset of its divisors.

71 divides the sum of the primes less than it.

72 is the maximum number of spheres that can touch another sphere in a lattice packing in 6 dimensions.

73 is the smallest number (besides 1) which is one less than twice its reverse.

74 is the number of different non-Hamiltonian polyhedra with minimum number of vertices.

75 is the number of orderings of 4 objects with ties allowed.

76 is an automorphic number.

77 is the largest number that cannot be written as a sum of distinct numbers whose reciprocals sum to 1.

78 is the smallest number that can be written as the sum of of 4 distinct squares in 3 ways.

79 is a permutable prime.

80 is the smallest number n where n and n+1 are both products of 4 or more primes.

81 is the square of the sum of its digits.

82 is the number of 6-hexes.

83 is the number of zero-less pandigital squares.

84 is the largest order of a permutation of 14 elements.

85 is the largest n for which 12+22+32+...+n2 = 1+2+3+...+m has a solution.

86 = 222 in base 6.

87 is the sum of the squares of the first 4 primes.

88 is the only number known whose square has no isolated digits.

89 = 81 + 92

90 is the number of degrees in a right angle.

91 is the smallest pseudoprime in base 3.

92 is the number of different arrangements of 8 non-attacking queens on an 8x8 chessboard.

93 = 333 in base 5.

94 is a Smith number.

95 is the number of planar partitions of 10.

96 is the smallest number that can be written as the difference of 2 squares in 4 ways.

97 is the smallest number with the property that its first 3 multiples contain the digit 9.

98 is the smallest number with the property that its first 5 multiples contain the digit 9.

99 is a Kaprekar number.

100 is the smallest square which is also the sum of 4 consecutive cubes.

101 is the number of partitions of 13.

102 is the smallest number with three different digits.

103 has the property that placing the last digit first gives 1 more than triple it.

104 is the smallest known number of unit line segments that can exist in the plane, 4 touching at every vertex.

105 is the largest number n known with the property that n - 2k is prime for k>1.

106 is the number of trees with 10 vertices.

107 is the exponent of a Mersenne prime.

108 is 3 hyperfactorial.

109 is the smallest number which is palindromic in bases 5 and 9.

110 is the smallest number that is the product of two different substrings.

111 is the smallest possible magic constant of a 3 x 3 magic square of distinct primes.

112 is the side of the smallest square that can be tiled with distinct integer-sided squares.

113 is a permutable prime.

114 = 222 in base 7.

115 is the number of rooted trees with 8 vertices.

116 is a value of n for which n!+1 is prime.

117 is the smallest possible value of the longest edge in a Heronian Tetrahedron.

118 is the smallest number that has 4 different partitions into 3 parts with the same product.

119 is the smallest number n where either n or n+1 is divisible by the numbers from 1 to 8.

120 is the smallest number to appear 6 times in Pascal’s triangle.

121 is the only square known of the form 1+p+p2+p3+p4, where p is prime.

122 is the smallest number n>1 so that n concatenated with n-1 0’s concatenated with the reverse of n is prime.

123 is the 10th Lucas number.

124 is the smallest number with the property that its first 3 multiples contain the digit 2.

125 is the only number known that contains all its proper divisors as proper substrings.

126 = 9C4.

127 is a Mersenne prime.

128 is the largest number which is not the sum of distinct squares.

129 is the smallest number that can be written as the sum of 3 squares in 4 ways.

130 is the number of functions from 6 unlabeled points to themselves.

131 is a permutable prime.

132 is the smallest number which is the sum of all of the 2-digit numbers that can be formed with its digits.

133 is the smallest number n for which the sum of the proper divisors of n divides phi(n).

134 = 8C1 + 8C3 + 8C4.

135 = 11 + 32 + 53.

136 is the sum of the cubes of the digits of the sum of the cubes of its digits.

137 is the smallest prime with 3 distinct digits that remains prime if one of its digits is removed.

138 is the smallest possible product of 3 primes, one of which is the concatenation of the other two.

139 is the number of unlabeled topologies with 5 elements.

140 is the smallest harmonic divisor number.

141 is a Cullen number.

142 is the number of planar graphs with 6 vertices.

143 is the smallest quasi-Carmichael number in base 8.

144 is the largest square in the Fibonacci sequence.

145 = 1! + 4! + 5!

146 = 222 in base 8.

147 is the number of sided 6-hexes.

148 is the number of perfect graphs with 6 vertices.

149 is the concatenation of the first 3 positive squares

150 is the smallest n for which n + n times the nth prime is square.

151 is a palindromic prime.

152 ???

153 = 13 + 53 + 33.

154 is the smallest number which is palindromic in bases 6, 8, and 9.

155 is the sum of the primes between its smallest and largest prime factor.

156 is the number of graphs with 6 vertices.

157 is the largest number known whose square contains the same digits as its successor.

158 is the number of planar partitions of 11.

159 is the number of isomers of C11H24.

160 is the number of 9-iamonds.

161 is a hexagonal pyramidal number.

162 is the smallest number that can be written as the sum of of 4 positive squares in 9 ways.

163 is the largest Heegner Number.

164 is the smallest number which is the concatenation of squares in two different ways.

165 = 11C3.

166 is the number of monotone Boolean functions of 4 variables.

167 ???

168 is the size of the smallest non-cyclic simple group which is not an alternating group.

169 is a square whose digits are non-decreasing.

170 is the smallest number n for which phi(n) and sigma(n) are both square.

171 is a palindromic triangular number.

172 = 444 in base 6.

173 ???

174 is the smallest number that can be written as the sum of of 4 positive distinct squares in 6 ways.

175 = 11 + 72 + 53.

176 is an octagonal pentagonal number.

177 is the number of graphs with 7 edges.

178 has a cube with the same digits as another cube.

179 ???

180 is the total number of degrees in a triangle.

181 is a strobogrammatic prime.

182 is the number of connected bipartite graphs with 8 vertices.

183 is the smallest number n so that n concatenated with n+1 is square.

184 is a Kaprekar constant in base 3.

185 ???

186 is the number of degree 11 irreducible polynomials over GF(2).

187 is the smallest quasi-Carmichael number in base 7.

188 is the number of semigroups of order 4.

189 is a Kaprekar constant in base 2.

190 is the largest number with the property that it and its ditinct prime factors are palindromic in Roman numerals.

191 is a palindromic prime.

192 is the smallest number with 14 divisors.

193 is the only known odd prime n for which 2 is not a primitive root of 4n2+1.

194 is the smallest number that can be written as the sum of 3 squares in 5 ways.

195 is the smallest value of n such that 2nCn is divisible by n2.

196 is the smallest number that is not known to reach a palindrome when repeatedly added to its reverse.

197 is a Keith number.

198 = 11 + 99 + 88.

199 is the 11th Lucas number.

200 is the smallest number which can not be made prime by changing one of its digits.

201 is a Kaprekar constant in base 4.

202 ???

203 is the 6th Bell number.

204 is the square root of a triangular number.

205 is the largest number which can not be writen as the sum of distinct primes of the form 6n+1.

206 is the smallest number that can be written as the sum of of 3 positive distinct squares in 5 ways.

207 has a 4th power where the first half of the digits are a permutation of the last half of the digits.

208 ???

209 is the smallest quasi-Carmichael number in base 9.

210 is the product of the first 4 primes.

211 is the smallest number whose reciprocal has period 30.

212 has a square with 4/5 of the digits are the same.

213 is a number whose product of digits is equal to its sum of digits.

214 ???

215 = 555 in base 6.

216 is the smallest cube that can be written as the sum of 3 cubes.

217 is a Kaprekar constant in base 2.

218 is the number of digraphs with 4 vertices.

219 is the number of space groups, not including handedness.

220 is the smallest amicable number.

221 is the number of Hamiltonian planar graphs with 7 vertices.

222 is the number of lattices on 10 unlabeled nodes.

223 is the smallest prime which will nor remain prime if one of its digits is changed.

224 ???

225 is an octagonal square number.

226 ???

227 is the number of connected planar graphs with 8 edges.

228 = 444 in base 7.

229 is the smallest prime that remains prime when added to its reverse.

230 is the number of space groups, including handedness.

231 is the number of partitions of 16.

232 is the number of 7x7 symmetric permutation matrices.

233 is the smallest number with the property that it and its neighbors can be written as a sum of 2 squares.

234 ???

235 is the number of trees with 11 vertices.

236 is the number of Hamiltonian circuits of a 4x8 rectangle.

237 is the smallest number with the property that its first 3 multiples contain the digit 7.

238 ???

239 is the largest number that cannot be written as a sum of 8 or fewer cubes.

240 is the smallest number with 20 divisors.

241 ???

242 is the smallest number n where n through n+3 all have the same number of divisors.

243 = 35.

244 is the smallest number (besides 2) that can be written as the sum of 2 squares or the sum of 2 5th powers.

245 is a stella octangula number.

246 = 9C2 + 9C4 + 9C6.

247 is the smallest possible difference between two integers that together contain each digit exactly once.

248 is the smallest number n>1 for which the arithmetic, geometric, and harmonic means of phi(n) and sigma(n) are all integers.

249 ???

250 ???

251 is the smallest number that can be written as the sum of 3 cubes in 2 ways.

252 is the 5th central binomial coefficient.

253 is the smallest non-trivial triangular star number.

254 is the smallest composite number all of whose divisors (except 1) contain the digit 2.

255 = 11111111 in base 2.

256 is the smallest 8th power (besides 1).

257 is a Fermat prime.

258 ???

259 = 1111 in base 6.

260 ???

261 is the number of essentially different ways to dissect a 16-gon into 7 quadrilaterals.

262 is the 9th meandric number.

263 is the largest known prime whose square is strobogrammatic.

264 is the largest known number whose square is undulating.

265 is the number of derangements of 6 items.

266 is the Stirling number of the second kind S(8,6).

267 is the number of planar partitions of 12.

268 is the smallest number whose product of digits is 6 times the sum of its digits.

269 ???

270 is a harmonic divisor number.

271 is the smallest prime p so that p-1 and p+1 are divisible by cubes.

272 is the 7th Euler number.

273 = 333 in base 9.

274 is the Stirling number of the first kind s(6,2).

275 ???

276 is the sum of the first 3 5th powers.

277 ???

278 ???

279 is the maximum number of 8th powers needed to sum to any number.

280 ???

281 ???

282 is the sum of its proper divisors that contain the digit 4.

283 = 25 + 8 + 35.

284 is an amicable number.

285 is the number of binary rooted trees with 13 vertices.

286 is the number of rooted trees with 9 vertices.

287 ???

288 is the smallest non-palindrome non-square that when multiplied by its reverse is a square.

289 is a square whose digits are non-decreasing.

290 ???

291 is the number of functional graphs on 8 vertices.

292 is the number of ways to make change for a dollar.

293 ???

294 ???

295 ???

296 ???

297 is a Kaprekar number.

298 ???

299 ???

300 is the largest possible score in bowling

301 is a 6-hyperperfect number.

302 is the number of acyclic digraphs with 5 vertices.

303 has a cube that is a concatenation of other cubes.

307 is a non-palindrome with a palindromic square.

308 is a heptagonal pyramidal number.

309 is smallest value of n for which sigma(n-1) + sigma(n+1) = sigma(2n).

311 is a permutable prime.

312 = 2222 in base 5.

313 is a palindromic prime.

314 is the smallest number that can be written as the sum of of 3 positive distinct squares in 6 ways.

315 = (4+3)(4+1)(4+5).

317 is a value of n for which one less than the product of the first n primes is prime.

318 is the number of unlabeled partially ordered sets of 6 elements.

319 is the smallest number with the property that the partition with the largest product does not have a maximum number of parts.

320 is the maximum determinant of a 10 x 10 matrix of 0’s and 1’s.

321 is a number whose product of digits is equal to its sum of digits.

322 is the 12th Lucas number.

323 is the product of twin primes.

325 is a 3-hyperperfect number.

327 and its double and triple together contain every digit from 1-9 exactly once.

330 = 11C4.

333 is the number of 7-hexes.

335 is the number of degree 12 irreducible polynomials over GF(2).

336 = 8P3.

337 is a permutable prime.

340 is a value of n for which n!+1 is prime.

341 is the smallest pseudoprime in base 2.

342 = 666 in base 7.

343 = (3+4)3.

344 is an octahedral number.

345 is half again as large as the sum of its proper divisors.

350 is the Stirling number of the second kind S(7,4).

351 is the smallest number n where n, n+1, and n+2 are all products of 4 or more primes.

352 is the number of different arrangements of 9 non-attacking queens on an 9x9 chessboard.

353 is the smallest number whose 4th power can be written as the sum of 4 4th powers.

354 is the sum of the first 4 4th powers.

355 is the number of labeled topologies with 4 elements.

360 is the number of degrees in a circle.

364 = 14C3.

365 is the smallest number that can be written as a sum of consecutive squares in more than 1 way.

366 is the number of days in a leap year.

367 is the largest number whose square has strictly increasing digits.

369 is the number of octominoes.

370 = 33 + 73 + 03.

371 = 33 + 73 + 13.

372 is a hexagonal pyramidal number.

373 is a permutable prime.

374 is the smallest number that can be written as the sum of 3 squares in 8 ways.

375 is a truncated tetrahedral number.

376 is an automorphic number.

377 is the 14th Fibonacci number.

379 is a value of n for which one more than the product of the first n primes is prime.

381 is a Kaprekar constant in base 2.

382 is the smallest number n with sigma(n) = sigma(n+3).

383 is the number of Hamiltonian graphs with 7 vertices.

384 = 8!!.

385 is the number of partitions of 18.

392 is a Kaprekar constant in base 5.

399 is a value of n for which n!+1 is prime.

400 = 1111 in base 7.

401 is the number of connected planar Eulerian graphs with 9 vertices.

403 is the product of two primes which are reverses of each other.

405 is a pentagonal pyramidal number.

407 = 43 + 03 + 73.

410 is the smallest number that can written as the sum of 2 distinct primes in 2 ways.

420 is the smallest number divisible by 1 through 7.

426 is a stella octangula number.

427 is a value of n for which n!+1 is prime.

428 has the property that its square is the concatenation of two consecutive numbers.

429 is the 7th Catalan number.

432 = (4) (3)3 (2)2.

434 is the smallest composite value of n for which sigma(n) + 2 = sigma(n+2).

438 = 666 in base 8.

439 is the smallest prime where inserting the same digit between every pair of digits never yields another prime.

441 is the smallest square which is the sum of 6 consecutive cubes.

442 is the number of planar partitions of 13.

444 is the largest known n for which there is a unique integer solution to a1+...+an=(a1)...(an).

446 is the smallest number that can be written as the sum of 3 distinct squares in 8 ways.

448 is the number of 10-iamonds.

450 = (5+4)(5+5)(5+0).

451 is the smallest number whose reciprocal has period 10.

454 is the largest number known that cannot be written as a sum of 7 or fewer cubes.

455 = 15C3.

456 is the number of tournaments with 7 vertices.

461 = 444 + 6 + 11.

462 = 11C5.

465 is a Kaprekar constant in base 2.

468 = 3333 in base 5.

469 is the largest known value of n for which n!-1 is prime.

471 is the smallest number with the property that its first 4 multiples contain the digit 4.

475 has a square that is composed of overlapping squares of smaller numbers.

480 is the smallest number which can be written as the difference of 2 squares in 8 ways.

483 is the last 3-digit string in the decimal expansion of .

484 is a palindromic square number.

487 is the number of Hadamard matrices of order 28.

489 is an octahedral number.

490 is the number of partitions of 19.

495 is the Kaprekar constant for 3-digit numbers.

496 is the 3rd perfect number.

497 is the number of graphs with 8 edges.

499 is the smallest number with the property that its first 12 multiples contain the digit 9.

501 is the number of partitions of 5 items into ordered lists.

503 is the smallest prime which is the sum of the cubes of the first few primes.

504 = 9P3.

505 = 10C5 + 10C0 + 10C5.

510 is the number of binary rooted trees with 14 vertices.

511 = 111111111 in base 2.

512 is the cube of the sum of its digits.

518 = 51 + 12 + 83.

521 is the 13th Lucas number.

525 is a hexagonal pyramidal number.

527 is the smallest number n for which there do not exist 4 smaller numbers a1 through a4 so that a1! a2! a3! a4! n! is square.

528 is the sum of its proper divisors that contain the digit 6.

531 is the smallest number with the property that its first 4 multiples contain the digit 1.

535 is a palindrome whose phi(n) is also palindromic.

536 is the number of solutions of the stomachion puzzle.

538 is the 10th meandric number.

540 is divisible by its reverse.

541 is the number of orderings of 5 objects with ties allowed.

546 undulates in bases 3, 4, and 5.

548 is the maximum number of 9th powers needed to sum to any number.

550 is a pentagonal pyramidal number.

551 is the number of trees with 12 vertices.

552 is the number of prime knots with 11 crossings.

554 is the number of self-dual planar graphs with 20 edges.

555 is a repdigit.

559 is a centered cube number.

560 = 16C3.

561 is the smallest Carmichael number.

563 is the largest known Wilson prime.

567 has the property that it and its square together use the digits 1-9 once.

568 is the smallest number whose 7th power can be written as the sum of 7 7th powers.

570 is the product of all the prime palindromic Roman numerals.

572 is the smallest number which has equal numbers of every digit in bases 2 and 3.

573 has the property that its square is the concatenation of two consecutive numbers.

575 is a palindrome that is one less than a square.

576 is the number of 4 x 4 Latin squares.

582 is the number of antisymmetric relations on a 5 element set.

583 is the smallest number whose reciprocal has period 26.

585 = 1111 in base 8.

586 is the smallest number that appears in its factorial 6 times.

587 is the smallest number whose sum of digits is larger than that of its cube.

594 = 15 + 29 + 34.

595 is a palindromic triangular number.

598 = 51 + 92 + 83.

607 is the exponent of a Mersenne prime.

610 is the 15th Fibonacci number.

614 is the smallest number that can be written as the sum of 3 squares in 9 ways.

617 = 1!2 + 2!2 + 3!2 + 4!2.

619 is a strobogrammatic prime.

620 is the number of sided 7-hexes.

624 is the smallest number with the property that its first 5 multiples contain the digit 2.

625 is an automorphic number.

627 is the number of partitions of 20.

630 is the number of degree 13 irreducible polynomials over GF(2).

637 = 777 in base 9.

641 is the smallest prime factor of 225+1.

642 is the smallest number with the property that its first 6 multiples contain the digit 2.

645 is the largest n for which 1+2+3+...+n = 12+22+32+...+k2 for some k.

646 is the number of connected planar graphs with 7 vertices.

650 is the sum of the first 12 squares.

651 is an nonagonal pentagonal number.

652 is the only known non-perfect number whose number of divisors and sum of smaller divisors are perfect.

653 is the only known prime for which 5 is neither a primitive root or a quadratic residue of 4n2+1.

660 is the order of a non-cyclic simple group.

666 is a palindromic triangular number.

670 is an octahedral number.

671 is a rhombic dodecahedral number.

672 is a multi-perfect number.

675 is the smallest order for which there are 17 groups.

676 is the smallest palindromic square number whose square root is not palindromic.

679 is the smallest number with multiplicative persistence 5.

680 is the smallest tetrahedral number that is also the sum of 2 tetrahedral numbers.

682 = 11C6 + 11C8 + 11C2.

688 has a factorization using the same digits as itself.

689 is the smallest number that can be written as the sum of 3 distinct squares in 9 ways.

697 is a 12-hyperperfect number.

703 is a Kaprekar number.

704 is the number of sided octominoes.

707 is the smallest number whose reciprocal has period 12.

709 is the number of connected planar graphs with 9 edges.

710 is the number of connected graphs with 9 edges.

714 is the smallest number which has equal numbers of every digit in bases 2 and 5.

715 = 13C4.

718 is the number of unlabeled topologies with 6 elements.

719 is the number of rooted trees with 10 vertices.

720 = 6!

721 is the smallest number which can be written as the difference of two cubes in 2 ways.

724 is the number of different arrangements of 10 non-attacking queens on an 10x10 chessboard.

726 is a pentagonal pyramidal number.

727 has the property that its square is the concatenation of two consecutive numbers.

728 is the smallest number n where n and n+1 are both products of 5 or more primes.

729 = 36.

730 is the number of connected bipartite graphs with 9 vertices.

731 is the number of planar partitions of 14.

732 = 17 + 26 + 35 + 44 + 53 + 62 + 71.

733 = 7 + 3! + (3!)!.

735 is the smallest number that is the concatenation of its distinct prime factors.

736 = 7 + 36.

742 is the smallest number that is one more than triple its reverse.

743 is the number of independent sets of the graph of the 4-dimensional hypercube.

746 = 17 + 24 + 36.

750 is the Stirling number of the second kind S(10,8).

757 is the smallest number whose reciprocal has a period of 27.

762 is the first decimal digit ofÂ where a digit occurs four times in a row.

764 is the number of 8x8 symmetric permutation matrices.

765 is a Kaprekar constant in base 2.

767 is the largest n so that n2 = mC0 + mC1 + mC2 + mC3 has a solution.

777 is a repdigit in bases 6 and 10.

780 = (5+7)(5+8)(5+0).

781 = 11111 in base 5.

784 is the sum of the first 7 cubes.

786 is the largest known n for which 2nCn is not divisible by the square of an odd prime.

787 is a palindromic prime.

791 is the smallest number n where either it or its neighbors are divisible by the numbers from 1 to 12.

792 is the number of partitions of 21.

793 is one less than twice its reverse.

794 is the sum of the first 3 6th powers.

797 is the number of functional graphs on 9 vertices.

800 = 2222 in base 7.

802 is the number of isomers of C13H28.

810 is divisible by its reverse.

816 = 18C3.

819 is the smallest number so that it and its successor are both the product of 2 primes and the square of a prime.

820 = 1111 in base 9.

822 is the number of planar graphs with 7 vertices.

835 is the 9th Motzkin number.

836 is a non-palindrome with a palindromic square.

840 is the smallest number divisble by 1 through 8.

841 is a square that is also the sum of 2 consecutive squares.

843 is the 14th Lucas number.

844 is the smallest number so that it and the next 4 numbers are all squareful.

846 has the property that its square is the concatenation of two consecutive numbers.

853 is the number of connected graphs with 7 vertices.

854 has the property that it and its square together use the digits 1-9 once.

855 is the smallest number which is the sum of 5 consecutive squares or 2 consecutive cubes.

858 is the smallest palindrome with 4 different prime factors.

866 is the number of sided 10-iamonds.

870 is the sum of its digits and the cube of its digits.

872 is a value of n for which n!+1 is prime.

873 = 1! + 2! + 3! + 4! + 5! + 6!

877 is the 7th Bell number.

880 is the number of 4 x 4 magic squares.

888 has a cube that whose digits each occur 3 times.

889 is a Kaprekar constant in base 2.

891 is an octahedral number.

895 is a Woodall number.

899 is the product of twin primes.

900 is a square whose digits are non-increasing.

901 is the sum of the digits of the first 100 positive integers.

906 is the number of perfect graphs with 7 vertices.

907 is the largest n so that Q(n) has class number 3.

912 has exactly the same digits in 3 different bases.

913 has exactly the same digits in 3 different bases.

914 is the number of binary rooted trees with 15 vertices.

919 is a permutable prime.

924 is the 6th central binomial coefficient.

929 is a palindromic prime.

936 is a pentagonal pyramidal number.

941 is the smallest number which is the reverse of the sum of its proper substrings.

945 is the smallest odd abundant number.

946 is a hexagonal pyramidal number.

951 is the number of functions from 8 unlabeled points to themselves.

952 = 93 + 53 + 23 + (9)(5)(2).

957 is a value of n for which sigma(n)=sigma(n+1).

960 is the sum of its digits and the cube of its digits.

961 is a square whose digits can be rotated to give another square.

966 is the Stirling number of the second kind S(8,3).

969 is a tetrahedral palindrome.

976 has a square formed by inserting a block of digits inside itself.

979 is the sum of the first 5 4th powers.

981 is the smallest number that has 5 different partitions into 3 parts with the same product.

986 = 19 + 28 + 36.

987 is the 16th Fibonacci number.

990 is a triangular number that is the product of 3 consecutive integers.

991 is a permutable prime.

992 is the number of differential structures on the 11-dimensional hypersphere.

993 is the smallest number with the property that its first 15 multiples contain the digit 9.

994 is the smallest number with the property that its first 18 multiples contain the digit 9.

995 has a square formed by inserting a block of digits inside itself.

996 has a square formed by inserting a block of digits inside itself.

997 is the smallest number with the property that its first 37 multiples contain the digit 9.

998 is the smallest number with the property that its first 55 multiples contain the digit 9.

999 is a Kaprekar number.

1000 = 103.

1001 is the smallest palindromic product of 3 consecutive primes.

1002 is the number of partitions of 22.

1005 is the smallest number whose English name contains all five vowels exactly once.

1006 has a cube that is a concatenation of other cubes.

1016 is a stella octangula number.

1019 is a value of n for which one more than the product of the first n primes is prime.

1021 is a value of n for which one more than the product of the first n primes is prime.

1023 is the smallest number with 4 different digits.

1024 is the smallest number with 11 divisors.

1025 is the smallest number that can be written as the sum of a square and a cube in 4 ways.

1029 is the smallest order for which there are 19 groups.

1031 is the length of the largest repunit that is known to be prime.

1033 = 81 + 80 + 83 + 83.

1036 = 4444 in base 6.

1044 is the number of graphs with 7 vertices.

1050 is the Stirling number of the second kind S(8,5).

1052 has the property that placing the last digit first gives 1 more than twice it.

1056 is the area of the smallest non-square rectangle that can be tiled with integer-sided squares.

1067 has exactly the same digits in 3 different bases.

1078 is the number of lattices on 9 unlabeled nodes.

1079 is the smallest number n where either it or its neighbors are divisible by the numbers from 1 to 15.

1080 is the smallest number with 18 divisors.

1084 is the smallest number whose English name contains all five vowels in order.

1089 is one ninth of its reverse.

1092 is the order of a non-cyclic simple group.

1093 is the smallest Wieferich prime.

1098 = 11 + 0 + 999 + 88.

1099 = 1 + 0 + 999 + 99.

1104 is a Keith number.

1105 is a rhombic dodecahedral number.

1106 is a truncated tetrahedral number.

1111 is a repdigit.

1116 is the number of polyaboloes with 8 half squares.

1122 = 33C1 + 33C1 + 33C2 + 33C2.

1124 is a number whose product of digits is equal to its sum of digits.

1139 has the property that placing the last digit first gives 1 more than 8 times it.

1140 is the smallest number whose divisors contain every digit at least three times.

1141 is the smallest number whose 6th power can be written as the sum of 7 6th powers.

1142 is a number whose product of digits is equal to its sum of digits.

1148 is the number of ways to fold a strip of 9 stamps.

1153 is the smallest number with the property that its first 3 multiples contain the digit 3.

1155 is the product of 4 consecutive primes.

1156 is a square whose digits are non-decreasing.

1161 is the number of degree 14 irreducible polynomials over GF(2).

1166 is a heptagonal pyramidal number.

1167 is the smallest number whose 8th power can be written as the sum of 9 8th powers.

1170 = 2222 in base 8.

1183 is the smallest number with the property that its first 4 multiples contain the digit 3.

1184 is an amicable number.

1185 = 11 + 1111 + 8 + 55.

1186 is the number of 11-iamonds.

1187 = 111 + 111 + 888 + 77.

1189 is the square root of a triangular number.

1193 and its reverse are prime, even if we append or prepend a 3 or 9.

1197 is the smallest number that contains as substrings the maximal prime powers that divide it.

1200 = 3333 in base 7.

1206 has a factorization using the same digits as itself.

1207 is the product of two primes which are reverses of each other.

1210 is an amicable number.

1214 is a number whose product of digits is equal to its sum of digits.

1215 is the smallest number n where n and n+1 are both products of 6 or more primes.

1222 is a hexagonal pyramidal number.

1224 is the smallest number that can be written as the sum of 4 cubes in 3 ways.

1225 is a hexagonal square triangular number.

1229 is the number of primes less than 10000.

1230 has the property that 17 + 27 + 37 + 07 equals 1230 written in base 8.

1231 has the property that 17 + 27 + 37 + 17 equals 1230 written in base 8.

1233 = 122 + 332.

1241 is a centered cube number.

1243 is the number of essentially different ways to dissect a 18-gon into 8 quadrilaterals.

1248 is the smallest number with the property that its first 6 multiples contain the digit 4.

1249 is the number of simplicial polyhedra with 11 vertices.

1255 is the number of partitions of 23.

1260 is the smallest number with 36 divisors.

1276 = 1111 + 22 + 77 + 66.

1278 = 1111 + 2 + 77 + 88.

1279 is the exponent of a Mersenne prime.

1285 is the number of 9-ominoes.

1287 = 13C5.

1294 is the number of 4 dimensional polytopes with 8 vertices.

1295 = 5555 in base 6.

1296 is the number of labeled trees with 6 vertices.

1300 is the sum of the first 4 5th powers.

1301 is the number of trees with 13 vertices.

1306 = 11 + 32 + 03 + 64.

1310 is the smallest number so that it and its neighbors are products of three primes.

1320 = 12P3.

1330 = 21C3.

1331 is a cube containing only odd digits.

1334 is a value of n for which sigma(n)=sigma(n+1).

1364 is the 15th Lucas number.

1365 = 15C4.

1366 = 1 + 33 + 666 + 666.

1368 is the number of ways to fold a 3x3 rectangle of stamps.

1369 is a square whose digits are non-decreasing.

1370 = 12 + 372 + 02.

1371 = 12 + 372 + 12.

1376 is the smallest number with the property that it and its neighbors are not cubefree.

1385 is the 8th Euler number.

1386 = 1 + 34 + 8 + 64.

1395 is a vampire number.

1405 is the sum of consecutive squares in 2 ways.

1412 is a number whose product of digits is equal to its sum of digits.

1419 is a Zeisel number.

1421 is a number whose product of digits is equal to its sum of digits.

1429 is the smallest number whose square has the first 3 digits the same as the next 3 digits.

1430 is the 8th Catalan number.

1435 is a vampire number.

1444 is a square whose digits are non-decreasing.

1448 is the number of 8-hexes.

1449 is a stella octangula number.

1453 = 1111 + 4 + 5 + 333.

1454 = 11 + 444 + 555 + 444.

1455 is the number of subgroups of the symmetric group on 6 symbols.

1458 is the maximum determinant of a 11 x 11 matrix of 0’s and 1’s.

1459 = 11 + 444 + 5 + 999.

1467 has the property that e1467 is within 10-8 of an integer.

1469 is an octahedral number.

1470 is a pentagonal pyramidal number.

1476 is the number of graphs with 9 edges.

1477 is a value of n for which n!+1 is prime.

1494 is the sum of its proper divisors that contain the digit 4.

1500 = (5+1)(5+5)(5+0)(5+0).

1503 has a factorization using the same digits as itself.

1506 is the sum of its proper divisors that contain the digit 5.

1508 is a heptagonal pyramidal number.

1518 is the sum of its proper divisors that contain the digit 5.

1521 is the smallest number that can be written as the sum of 4 distinct cubes in 3 ways.

1530 is a vampire number.

1533 is a Kaprekar constant in base 2.

1537 has its largest proper divisor as a substring.

1540 is a tetrahedal triangular number.

1543 = 1111 + 55 + 44 + 333.

1547 is a hexagonal pyramidal number.

1555 is the largest n so that Q(n) has class number 4.

1562 = 22222 in base 5.

1563 is the smallest number with the property that its first 4 multiples contain the digit 6.

1575 is the number of partitions of 24.

1595 is the smallest quasi-Carmichael number in base 2.

1597 is the 17th Fibonacci number.

1600 = 4444 in base 7.

1606 is the number of strongly connected digraphs with 4 vertices.

1624 is the Stirling number of the first kind s(7,3).

1632 is the smallest number with the property that its first 5 multiples contain the digit 6.

1634 = 14 + 64 + 34 + 44.

1638 is a harmonic divisor number.

1639 is the number of binary rooted trees with 16 vertices.

1640 = 2222 in base 9.

1650 has exactly the same digits in 3 different bases.

1666 is the sum of the Roman numerals.

1676 = 11 + 62 + 73 + 64.

1680 is the smallest number with 40 divisors.

1681 is a square and each of its two 2-digit parts is square.

1688 is a truncated tetrahedral number.

1689 is the smallest composite number all of whose divisors (except 1) contain the digit 9.

1695 is a rhombic dodecahedral number.

1701 is the Stirling number of the second kind S(8,4).

1705 is the smallest quasi-Carmichael number in base 4.

1715 = (1) (7)3 (1) (5).

1716 = 13C6.

1722 is a Giuga number.

1728 = 123.

1729 is the smallest number which can be written as the sum of 2 cubes in 2 ways.

1730 is the sum of consecutive squares in 2 ways.

1734 is the sum of its proper divisors that contain the digit 8.

1755 = 3333 in base 8.

1763 is the product of twin primes.

1764 is the Stirling number of the first kind s(7,2).

1771 is a tetrahedral palindrome.

1782 is the smallest number n that is 3 times the sum of all the 2-digit numbers that can be made using the digits of n.

1785 is a Kaprekar constant in base 2.

1787 is the number of different arrangements (up to rotation and reflection) of 12 non-attacking queens on a 12x12 chessboard.

1789 is the smallest number with the property that its first 4 multiples contain the digit 7.

1800 is a pentagonal pyramidal number.

1820 = 16C4.

1827 is a vampire number.

1828 is the 11th meandric number.

1834 is an octahedral number.

1842 is the number of rooted trees with 11 vertices.

1849 is the smallest composite number all of whose divisors (except 1) contain the digit 4.

1854 is the number of derangements of 7 items.

1858 is the number of isomers of C14H30.

1873 is a value of n for which one less than the product of the first n primes is prime.

1875 is the smallest order for which there are 21 groups.

1885 is a Zeisel number.

1890 is the smallest number whose divisors contain every digit at least four times.

1900 is the largest palindrome in Roman numerals.

1905 is a Kaprekar constant in base 2.

1908 is the number of self-dual planar graphs with 22 edges.

1911 is a heptagonal pyramidal number.

1915 is the number of semigroups of order 5.

1925 is a hexagonal pyramidal number.

1947 is the number of planar partitions of 16.

1953 is a Kaprekar constant in base 2.

1958 is the number of partitions of 25.

1960 is the Stirling number of the first kind s(8,5).

1969 is the only known counterexample to a conjecture about modular Ackermann functions.

1980 is the number of ways to fold a 2x4 rectangle of stamps.

1990 is a stella octangula number.

1998 is the largest number that is the sum of its digits and the cube of its digits.

2000 = 5555 in base 7.

2002 = 14C5.

2008 is a Kaprekar constant in base 3.

2020 is a curious number.

2024 = 24C3.

2025 is a square that remains square if all its digits are incremented.

2030 is the smallest number that can be written as a sum of 3 or 4 consecutive squares.

2038 is the number of Eulerian graphs with 9 vertices.

2041 is a 12-hyperperfect number.

2045 is the number of unlabeled partially ordered sets of 7 elements.

2047 is the smallest composite Mersenne number with prime exponent.

2048 is the smallest 11th power (besides 1).

2053 is a value of n for which one less than the product of the first n primes is prime.

2073 is a Genocchi number.

2082 is the sum of its proper divisors that contain the digit 4.

2100 is divisible by its reverse.

2114 is a number whose product of digits is equal to its sum of digits.

2132 is the maximum number of 11th powers needed to sum to any number.

2133 is a 2-hyperperfect number.

2141 is a number whose product of digits is equal to its sum of digits.

2143 is the number of commutative semigroups of order 6.

2176 is the number of prime knots with 12 crossings.

2178 is the only number known which when multiplied by its reverse yields a fourth power.

2182 is the number of degree 15 irreducible polynomials over GF(2).

2184 = 14P3.

2185 is the number of digits of 555.

2186 = 2222222 in base 3.

2187 = 37.

2188 is the 10th Motzkin number.

2197 = 133.

2201 is the only non-palindrome known to have a palindromic cube.

2203 is the exponent of a Mersenne prime.

2207 is the 16th Lucas number.

2208 is a Keith number.

2210 = 47C2 + 47C2 + 47C1 + 47C0.

2213 = 23 + 23 + 133.

2222 is the smallest number divisible by a 1-digit prime, a 2-digit prime, and a 3-digit prime.

2223 is a Kaprekar number.

2255 is an octahedral number.

2261 = 2222 + 22 + 6 + 11.

2263 = 2222 + 2 + 6 + 33.

2272 has a cube that is a concatenation of other cubes.

2273 is the number of functional graphs on 10 vertices.

2274 is the sum of its proper divisors that contain the digit 7.

2275 is the sum of the first 6 4th powers.

2281 is the exponent of a Mersenne prime.

2285 is a non-palindrome with a palindromic square.

2295 is the number of self-dual binary codes of length 12.

2300 = 25C3.

2304 is the number of edges in a 9 dimensional hypercube.

2310 is the product of the first 5 primes.

2318 is the number of connected planar graphs with 10 edges.

2322 is the number of connected graphs with 10 edges.

2328 is the number of groups of order 128.

2331 is a centered cube number.

2336 is the number of sided 11-iamonds.

2340 = 4444 in base 8.

2343 = 33333 in base 5.

2354 = 2222 + 33 + 55 + 44.

2357 is the concatenation of the first 4 primes.

2359 = 2222 + 33 + 5 + 99.

2360 is a hexagonal pyramidal number.

2377 is a value of n for which one less than the product of the first n primes is prime.

2380 = 17C4.

2400 = 6666 in base 7.

2401 is the 4th power of the sum of its digits.

2411 is a number whose product of digits is equal to its sum of digits.

2427 = 21 + 42 + 23 + 74.

2431 is the product of 3 consecutive primes.

2436 is the number of partitions of 26.

2437 is the smallest number which is not prime when preceded or followed by any digit 1-9.

2445 is a truncated tetrahedral number.

2448 is the order of a non-cyclic simple group.

2460 = 3333 in base 9.

2465 is a Carmichael number.

2499 is the number of connected planar Eulerian graphs with 10 vertices.

2500 is the number of sided 9-ominoes.

2511 is the smallest number so that it and its successor are both the product of a prime and the 4th power of a prime.

2519 is the smallest number n where either n or n+1 is divisible by the numbers from 1 to 12.

2520 is the smallest number divisible by 1 through 10.

2532 = 2222 + 55 + 33 + 222.

2538 has a square with 5/7 of the digits are the same.

2550 is a Kaprekar constant in base 4.

2571 is the smallest number with the property that its first 7 multiples contain the digit 1.

2576 has exactly the same digits in 3 different bases.

2580 is a Keith number.

2584 is the 18th Fibonacci number .

2592 = 25 92.

2600 = 26C3.

2601 is a pentagonal pyramidal number.

2606 is the number of polyhedra with 9 vertices.

2615 is the number of functions from 9 unlabeled points to themselves.

2620 is an amicable number.

2621 = 2222 + 66 + 222 + 111.

2623 = 2222 + 66 + 2 + 333.

2629 is the smallest number whose reciprocal has period 14.

2636 is a non-palindrome with a palindromic square.

2646 is the Stirling number of the second kind S(9,6).

2651 is a stella octangula number.

2657