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12936976 = 241337412
BaseRepresentation
bin110001010110…
…011100010000
3220100021012021
4301112130100
511302440401
61141141224
7214651063
oct61263420
926307167
1012936976
117336818
1243ba814
1328ac620
141a0a8da
1512082a1
hexc56710

12936976 has 60 divisors (see below), whose sum is σ = 28415716. Its totient is φ = 5667840.

The previous prime is 12936947. The next prime is 12936977. The reversal of 12936976 is 67963921.

It can be written as a sum of positive squares in 6 ways, for example, as 3326976 + 9610000 = 1824^2 + 3100^2 .

It is not an unprimeable number, because it can be changed into a prime (12936977) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 315516 + ... + 315556.

Almost surely, 212936976 is an apocalyptic number.

12936976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12936976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14207858).

12936976 is an abundant number, since it is smaller than the sum of its proper divisors (15478740).

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

12936976 is a wasteful number, since it uses less digits than its factorization.

12936976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 93 counting only the distinct ones).

The product of its digits is 122472, while the sum is 43.

The square root of 12936976 is about 3596.8008007117. The cubic root of 12936976 is about 234.7528773867.

The spelling of 12936976 in words is "twelve million, nine hundred thirty-six thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 13 16 26 37 41 52 74 82 104 148 164 208 296 328 481 533 592 656 962 1066 1517 1681 1924 2132 3034 3362 3848 4264 6068 6724 7696 8528 12136 13448 19721 21853 24272 26896 39442 43706 62197 78884 87412 124394 157768 174824 248788 315536 349648 497576 808561 995152 1617122 3234244 6468488 12936976