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12936864 = 253177927
BaseRepresentation
bin110001010110…
…011010100000
3220100021001010
4301112122200
511302434424
61141140520
7214650543
oct61263240
926307033
1012936864
117336726
1243ba740
1328ac565
141a0a85a
151208229
hexc566a0

12936864 has 48 divisors (see below), whose sum is σ = 35961408. Its totient is φ = 4058112.

The previous prime is 12936857. The next prime is 12936877. The reversal of 12936864 is 46863921.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2332 + ... + 5595.

It is an arithmetic number, because the mean of its divisors is an integer number (749196).

Almost surely, 212936864 is an apocalyptic number.

It is an amenable number.

12936864 is an abundant number, since it is smaller than the sum of its proper divisors (23024544).

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

12936864 is a wasteful number, since it uses less digits than its factorization.

12936864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7957 (or 7949 counting only the distinct ones).

The product of its digits is 62208, while the sum is 39.

The square root of 12936864 is about 3596.7852312864. The cubic root of 12936864 is about 234.7521999383.

The spelling of 12936864 in words is "twelve million, nine hundred thirty-six thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 408 544 816 1632 7927 15854 23781 31708 47562 63416 95124 126832 134759 190248 253664 269518 380496 404277 539036 760992 808554 1078072 1617108 2156144 3234216 4312288 6468432 12936864