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10638243 = 3372111743
BaseRepresentation
bin101000100101…
…001110100011
3202000110221000
4220211032203
510210410433
61020003043
7156265200
oct50451643
922013830
1010638243
116006740
123690483
132286225
1415acca7
15e02113
hexa253a3

10638243 has 96 divisors (see below), whose sum is σ = 21669120. Its totient is φ = 5080320.

The previous prime is 10638241. The next prime is 10638263. The reversal of 10638243 is 34283601.

It is a happy number.

10638243 is a `hidden beast` number, since 1 + 0 + 638 + 24 + 3 = 666.

It is not a de Polignac number, because 10638243 - 21 = 10638241 is a prime.

It is a super-2 number, since 2×106382432 = 226344428254098, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10638241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 247380 + ... + 247422.

It is an arithmetic number, because the mean of its divisors is an integer number (225720).

Almost surely, 210638243 is an apocalyptic number.

10638243 is an abundant number, since it is smaller than the sum of its proper divisors (11030877).

10638243 is a wasteful number, since it uses less digits than its factorization.

10638243 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 10638243 is about 3261.6319534859. The cubic root of 10638243 is about 219.9327824952.

The spelling of 10638243 in words is "ten million, six hundred thirty-eight thousand, two hundred forty-three".

Divisors: 1 3 7 9 11 17 21 27 33 43 49 51 63 77 99 119 129 147 153 187 189 231 297 301 357 387 441 459 473 539 561 693 731 833 903 1071 1161 1309 1323 1419 1617 1683 2079 2107 2193 2499 2709 3213 3311 3927 4257 4851 5049 5117 6321 6579 7497 8041 8127 9163 9933 11781 12771 14553 15351 18963 19737 22491 23177 24123 27489 29799 35343 35819 46053 56287 56889 69531 72369 82467 89397 107457 138159 168861 208593 217107 247401 322371 394009 506583 625779 967113 1182027 1519749 3546081 10638243