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12976964 = 22721113463
BaseRepresentation
bin110001100000…
…001101000100
3220102022001022
4301200031010
511310230324
61142050312
7215205500
oct61401504
926368038
1012976964
117363870
124419998
1328c48a0
141a1b300
15121505e
hexc60344

12976964 has 72 divisors (see below), whose sum is σ = 31102848. Its totient is φ = 4656960.

The previous prime is 12976961. The next prime is 12976993. The reversal of 12976964 is 46967921.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (12976961) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27797 + ... + 28259.

It is an arithmetic number, because the mean of its divisors is an integer number (431984).

Almost surely, 212976964 is an apocalyptic number.

12976964 is a gapful number since it is divisible by the number (14) 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 12976964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15551424).

12976964 is an abundant number, since it is smaller than the sum of its proper divisors (18125884).

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

12976964 is a wasteful number, since it uses less digits than its factorization.

12976964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505 (or 496 counting only the distinct ones).

The product of its digits is 163296, while the sum is 44.

The square root of 12976964 is about 3602.3553406070. The cubic root of 12976964 is about 234.9945011540.

The spelling of 12976964 in words is "twelve million, nine hundred seventy-six thousand, nine hundred sixty-four".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 49 52 77 91 98 143 154 182 196 286 308 364 463 539 572 637 926 1001 1078 1274 1852 2002 2156 2548 3241 4004 5093 6019 6482 7007 10186 12038 12964 14014 20372 22687 24076 28028 35651 42133 45374 66209 71302 84266 90748 132418 142604 168532 249557 264836 294931 463463 499114 589862 926926 998228 1179724 1853852 3244241 6488482 12976964