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12936480 = 253526951
BaseRepresentation
bin110001010110…
…010100100000
3220100020111220
4301112110200
511302431410
61141135040
7214646454
oct61262440
926306456
1012936480
117336407
1243ba480
1328ac32b
141a0a664
151208070
hexc56520

12936480 has 48 divisors (see below), whose sum is σ = 40751424. Its totient is φ = 3449600.

The previous prime is 12936467. The next prime is 12936527. The reversal of 12936480 is 8463921.

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

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

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, 12996 + ... + 13955.

It is an arithmetic number, because the mean of its divisors is an integer number (848988).

Almost surely, 212936480 is an apocalyptic number.

12936480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12936480 is an abundant number, since it is smaller than the sum of its proper divisors (27814944).

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

12936480 is a wasteful number, since it uses less digits than its factorization.

12936480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26969 (or 26961 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 12936480 is about 3596.7318498882. The cubic root of 12936480 is about 234.7498772287.

The spelling of 12936480 in words is "twelve million, nine hundred thirty-six thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 26951 53902 80853 107804 134755 161706 215608 269510 323412 404265 431216 539020 646824 808530 862432 1078040 1293648 1617060 2156080 2587296 3234120 4312160 6468240 12936480