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12966156 = 223475717
BaseRepresentation
bin110001011101…
…100100001100
3220101202020000
4301131210030
511304404111
61141524300
7215132130
oct61354414
926352200
1012966156
117356735
124413690
1328bc9a8
141a173c0
151211c56
hexc5d90c

12966156 has 60 divisors (see below), whose sum is σ = 38745168. Its totient is φ = 3703968.

The previous prime is 12966139. The next prime is 12966157. The reversal of 12966156 is 65166921.

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

It is a self number, because there is not a number n which added to its sum of digits gives 12966156.

It is not an unprimeable number, because it can be changed into a prime (12966157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 591 + ... + 5126.

Almost surely, 212966156 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12966156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19372584).

12966156 is an abundant number, since it is smaller than the sum of its proper divisors (25779012).

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

12966156 is a wasteful number, since it uses less digits than its factorization.

12966156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5740 (or 5729 counting only the distinct ones).

The product of its digits is 19440, while the sum is 36.

The square root of 12966156 is about 3600.8548984929. The cubic root of 12966156 is about 234.9292438257.

The spelling of 12966156 in words is "twelve million, nine hundred sixty-six thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 252 324 378 567 756 1134 2268 5717 11434 17151 22868 34302 40019 51453 68604 80038 102906 120057 154359 160076 205812 240114 308718 360171 463077 480228 617436 720342 926154 1080513 1440684 1852308 2161026 3241539 4322052 6483078 12966156