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12968832 = 27333773
BaseRepresentation
bin110001011110…
…001110000000
3220101212220010
4301132032000
511310000312
61141544520
7215143002
oct61361600
926355803
1012968832
117358748
124415140
1328c0c86
141a18372
15121293c
hexc5e380

12968832 has 32 divisors (see below), whose sum is σ = 34449480. Its totient is φ = 4322816.

The previous prime is 12968821. The next prime is 12968861. The reversal of 12968832 is 23886921.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 16503 + ... + 17270.

Almost surely, 212968832 is an apocalyptic number.

12968832 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12968832 is an abundant number, since it is smaller than the sum of its proper divisors (21480648).

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

12968832 is an equidigital number, since it uses as much as digits as its factorization.

12968832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33790 (or 33778 counting only the distinct ones).

The product of its digits is 41472, while the sum is 39.

The square root of 12968832 is about 3601.2264577502. The cubic root of 12968832 is about 234.9454045498.

The spelling of 12968832 in words is "twelve million, nine hundred sixty-eight thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 33773 67546 101319 135092 202638 270184 405276 540368 810552 1080736 1621104 2161472 3242208 4322944 6484416 12968832