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12936920 = 2353110433
BaseRepresentation
bin110001010110…
…011011011000
3220100021010012
4301112123120
511302440140
61141141052
7214650653
oct61263330
926307105
1012936920
117336777
1243ba788
1328ac5a9
141a0a89a
151208265
hexc566d8

12936920 has 32 divisors (see below), whose sum is σ = 30049920. Its totient is φ = 5007360.

The previous prime is 12936919. The next prime is 12936943. The reversal of 12936920 is 2963921.

12936920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 3977 + ... + 6456.

It is an arithmetic number, because the mean of its divisors is an integer number (939060).

Almost surely, 212936920 is an apocalyptic number.

12936920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12936920 is an abundant number, since it is smaller than the sum of its proper divisors (17113000).

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

12936920 is a wasteful number, since it uses less digits than its factorization.

12936920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10475 (or 10471 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 32.

The square root of 12936920 is about 3596.7930160075. The cubic root of 12936920 is about 234.7525386630.

The spelling of 12936920 in words is "twelve million, nine hundred thirty-six thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 155 248 310 620 1240 10433 20866 41732 52165 83464 104330 208660 323423 417320 646846 1293692 1617115 2587384 3234230 6468460 12936920