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12916296 = 2332179393
BaseRepresentation
bin110001010001…
…011001001000
3220022012211100
4301101121020
511301310141
61140501400
7214533561
oct61213110
926265740
1012916296
117322228
1243aa860
1328a30a3
141a03168
1512020b6
hexc51648

12916296 has 24 divisors (see below), whose sum is σ = 34981830. Its totient is φ = 4305408.

The previous prime is 12916289. The next prime is 12916313. The reversal of 12916296 is 69261921.

12916296 is a `hidden beast` number, since 1 + 29 + 1 + 629 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 12744900 + 171396 = 3570^2 + 414^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 12916296.

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, 89625 + ... + 89768.

Almost surely, 212916296 is an apocalyptic number.

It is an amenable number.

12916296 is an abundant number, since it is smaller than the sum of its proper divisors (22065534).

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

12916296 is a wasteful number, since it uses less digits than its factorization.

12916296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179405 (or 179398 counting only the distinct ones).

The product of its digits is 11664, while the sum is 36.

The square root of 12916296 is about 3593.9248740061. The cubic root of 12916296 is about 234.6277250436.

The spelling of 12916296 in words is "twelve million, nine hundred sixteen thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 179393 358786 538179 717572 1076358 1435144 1614537 2152716 3229074 4305432 6458148 12916296