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12928704 = 263172233
BaseRepresentation
bin110001010100…
…011011000000
3220022211211220
4301110123000
511302204304
61141035040
7214615005
oct61243300
926284756
1012928704
117330588
1243b5a80
1328a8929
141a078ac
151205ad9
hexc546c0

12928704 has 84 divisors (see below), whose sum is σ = 36493704. Its totient is φ = 4038656.

The previous prime is 12928697. The next prime is 12928711. The reversal of 12928704 is 40782921.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12928697) and next prime (12928711).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55372 + ... + 55604.

Almost surely, 212928704 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 12928704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18246852).

12928704 is an abundant number, since it is smaller than the sum of its proper divisors (23565000).

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

12928704 is a wasteful number, since it uses less digits than its factorization.

12928704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 12928704 is about 3595.6507060614. The cubic root of 12928704 is about 234.7028324655.

The spelling of 12928704 in words is "twelve million, nine hundred twenty-eight thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 136 192 204 233 272 289 408 466 544 578 699 816 867 932 1088 1156 1398 1632 1734 1864 2312 2796 3264 3468 3728 3961 4624 5592 6936 7456 7922 9248 11184 11883 13872 14912 15844 18496 22368 23766 27744 31688 44736 47532 55488 63376 67337 95064 126752 134674 190128 202011 253504 269348 380256 404022 538696 760512 808044 1077392 1616088 2154784 3232176 4309568 6464352 12928704