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12668256 = 253243987
BaseRepresentation
bin110000010100…
…110101100000
3212211121120200
4300110311200
511220341011
61131305200
7212451456
oct60246540
925747520
1012668256
117172937
1242ab200
132817213
14197a9d6
1511a3856
hexc14d60

12668256 has 36 divisors (see below), whose sum is σ = 36026172. Its totient is φ = 4222656.

The previous prime is 12668237. The next prime is 12668261. The reversal of 12668256 is 65286621.

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 12668256.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 21706 + ... + 22281.

It is an arithmetic number, because the mean of its divisors is an integer number (1000727).

Almost surely, 212668256 is an apocalyptic number.

12668256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12668256 is an abundant number, since it is smaller than the sum of its proper divisors (23357916).

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

12668256 is a wasteful number, since it uses less digits than its factorization.

12668256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44003 (or 43992 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 12668256 is about 3559.2493590644. The cubic root of 12668256 is about 233.1161044027.

The spelling of 12668256 in words is "twelve million, six hundred sixty-eight thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 43987 87974 131961 175948 263922 351896 395883 527844 703792 791766 1055688 1407584 1583532 2111376 3167064 4222752 6334128 12668256