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12916116 = 2232499719
BaseRepresentation
bin110001010001…
…010110010100
3220022012120200
4301101112110
511301303431
61140500500
7214533213
oct61212624
926265520
1012916116
117322084
1243aa730
1328a2c95
141a0307a
151201ee6
hexc51594

12916116 has 36 divisors (see below), whose sum is σ = 32760000. Its totient is φ = 4290768.

The previous prime is 12916093. The next prime is 12916121. The reversal of 12916116 is 61161921.

It is a tau number, because it is divible by the number of its divisors (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 12916116.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17605 + ... + 18323.

It is an arithmetic number, because the mean of its divisors is an integer number (910000).

Almost surely, 212916116 is an apocalyptic number.

It is an amenable number.

12916116 is an abundant number, since it is smaller than the sum of its proper divisors (19843884).

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

12916116 is a wasteful number, since it uses less digits than its factorization.

12916116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1228 (or 1223 counting only the distinct ones).

The product of its digits is 648, while the sum is 27.

The square root of 12916116 is about 3593.8998316592. The cubic root of 12916116 is about 234.6266351236.

The spelling of 12916116 in words is "twelve million, nine hundred sixteen thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 499 719 998 1438 1497 1996 2157 2876 2994 4314 4491 5988 6471 8628 8982 12942 17964 25884 358781 717562 1076343 1435124 2152686 3229029 4305372 6458058 12916116