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12720672 = 253314723
BaseRepresentation
bin110000100001…
…101000100000
3212221021111000
4300201220200
511224030142
61132352000
7213060336
oct60415040
925837430
1012720672
1171a9258
124315600
132835033
141991b56
1511b414c
hexc21a20

12720672 has 48 divisors (see below), whose sum is σ = 37104480. Its totient is φ = 4239936.

The previous prime is 12720649. The next prime is 12720707. The reversal of 12720672 is 27602721.

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

It is a super-2 number, since 2×127206722 = 323630992263168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6498 + ... + 8225.

It is an arithmetic number, because the mean of its divisors is an integer number (773010).

Almost surely, 212720672 is an apocalyptic number.

12720672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12720672 is an abundant number, since it is smaller than the sum of its proper divisors (24383808).

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

12720672 is a wasteful number, since it uses less digits than its factorization.

12720672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14742 (or 14728 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 12720672 is about 3566.6051085030. The cubic root of 12720672 is about 233.4371746419.

The spelling of 12720672 in words is "twelve million, seven hundred twenty thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 14723 29446 44169 58892 88338 117784 132507 176676 235568 265014 353352 397521 471136 530028 706704 795042 1060056 1413408 1590084 2120112 3180168 4240224 6360336 12720672