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104934676 = 22731117409
BaseRepresentation
bin1100100000100…
…10110100010100
321022110020022111
412100102310110
5203330402201
614225040404
72412634000
oct620226424
9238406274
10104934676
1154261a80
122b186104
1318980932
14dd17700
15932bb51
hex6412d14

104934676 has 96 divisors (see below), whose sum is σ = 247968000. Its totient is φ = 38384640.

The previous prime is 104934667. The next prime is 104934719. The reversal of 104934676 is 676439401.

It is a super-2 number, since 2×1049346762 = 22022572454449952, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 256360 + ... + 256768.

It is an arithmetic number, because the mean of its divisors is an integer number (2583000).

Almost surely, 2104934676 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 104934676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123984000).

104934676 is an abundant number, since it is smaller than the sum of its proper divisors (143033324).

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

104934676 is a wasteful number, since it uses less digits than its factorization.

104934676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 40.

The square root of 104934676 is about 10243.7627852269. The cubic root of 104934676 is about 471.6715432466.

The spelling of 104934676 in words is "one hundred four million, nine hundred thirty-four thousand, six hundred seventy-six".

Divisors: 1 2 4 7 11 14 17 22 28 34 44 49 68 77 98 119 154 187 196 238 308 343 374 409 476 539 686 748 818 833 1078 1309 1372 1636 1666 2156 2618 2863 3332 3773 4499 5236 5726 5831 6953 7546 8998 9163 11452 11662 13906 15092 17996 18326 20041 23324 27812 31493 36652 40082 48671 62986 64141 76483 80164 97342 125972 128282 140287 152966 194684 220451 256564 280574 305932 340697 440902 535381 561148 681394 881804 1070762 1362788 1543157 2141524 2384879 3086314 3747667 4769758 6172628 7495334 9539516 14990668 26233669 52467338 104934676