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12515968 = 27277353
BaseRepresentation
bin101111101111…
…101010000000
3212112212200101
4233233222000
511201002333
61124132144
7211245463
oct57575200
925485611
1012515968
117079483
124237054
132792aca
14193b2da
15117367d
hexbefa80

12515968 has 32 divisors (see below), whose sum is σ = 25095060. Its totient is φ = 6217728.

The previous prime is 12515963. The next prime is 12515999. The reversal of 12515968 is 86951521.

It can be written as a sum of positive squares in 2 ways, for example, as 11888704 + 627264 = 3448^2 + 792^2 .

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

It is not an unprimeable number, because it can be changed into a prime (12515963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 35280 + ... + 35632.

Almost surely, 212515968 is an apocalyptic number.

It is an amenable number.

12515968 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

12515968 is an equidigital number, since it uses as much as digits as its factorization.

12515968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644 (or 632 counting only the distinct ones).

The product of its digits is 21600, while the sum is 37.

The square root of 12515968 is about 3537.7914014255. The cubic root of 12515968 is about 232.1782221512.

The spelling of 12515968 in words is "twelve million, five hundred fifteen thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 16 32 64 128 277 353 554 706 1108 1412 2216 2824 4432 5648 8864 11296 17728 22592 35456 45184 97781 195562 391124 782248 1564496 3128992 6257984 12515968