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104654264 = 231113231227
BaseRepresentation
bin1100011110011…
…10010110111000
321021220222122212
412033032112320
5203242414024
614215034252
72410355321
oct617162670
9237828585
10104654264
1154090330
122b06b988
13188b3100
14dc83448
1592c3a0e
hex63ce5b8

104654264 has 96 divisors (see below), whose sum is σ = 240330240. Its totient is φ = 42307200.

The previous prime is 104654237. The next prime is 104654311. The reversal of 104654264 is 462456401.

It is a self number, because there is not a number n which added to its sum of digits gives 104654264.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 460919 + ... + 461145.

It is an arithmetic number, because the mean of its divisors is an integer number (2503440).

Almost surely, 2104654264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104654264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120165120).

104654264 is an abundant number, since it is smaller than the sum of its proper divisors (135675976).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

104654264 is a wasteful number, since it uses less digits than its factorization.

104654264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

The square root of 104654264 is about 10230.0666664494. The cubic root of 104654264 is about 471.2510265535.

The spelling of 104654264 in words is "one hundred four million, six hundred fifty-four thousand, two hundred sixty-four".

Divisors: 1 2 4 8 11 13 22 26 31 44 52 62 88 104 124 143 169 227 248 286 338 341 403 454 572 676 682 806 908 1144 1352 1364 1612 1816 1859 2497 2728 2951 3224 3718 4433 4994 5239 5902 7037 7436 8866 9988 10478 11804 14074 14872 17732 19976 20956 23608 28148 32461 35464 38363 41912 56296 57629 64922 76726 77407 91481 115258 129844 153452 154814 182962 230516 259688 306904 309628 365924 421993 461032 619256 731848 843986 1006291 1189253 1687972 2012582 2378506 3375944 4025164 4757012 8050328 9514024 13081783 26163566 52327132 104654264