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12914964 = 223643103
BaseRepresentation
bin110001010001…
…000100010100
3220022011000000
4301101010110
511301234324
61140451300
7214526646
oct61210424
926264000
1012914964
117321227
1243a9b30
1328a25ba
141a02896
1512019c9
hexc51114

12914964 has 84 divisors (see below), whose sum is σ = 35010976. Its totient is φ = 4164048.

The previous prime is 12914953. The next prime is 12915013. The reversal of 12914964 is 46941921.

It is a happy number.

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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 125337 + ... + 125439.

Almost surely, 212914964 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 12914964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17505488).

12914964 is an abundant number, since it is smaller than the sum of its proper divisors (22096012).

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

12914964 is a wasteful number, since it uses less digits than its factorization.

12914964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 151 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 12914964 is about 3593.7395565066. The cubic root of 12914964 is about 234.6196593961.

The spelling of 12914964 in words is "twelve million, nine hundred fourteen thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 43 54 81 86 103 108 129 162 172 206 243 258 309 324 387 412 486 516 618 729 774 927 972 1161 1236 1458 1548 1854 2322 2781 2916 3483 3708 4429 4644 5562 6966 8343 8858 10449 11124 13287 13932 16686 17716 20898 25029 26574 31347 33372 39861 41796 50058 53148 62694 75087 79722 100116 119583 125388 150174 159444 239166 300348 358749 478332 717498 1076247 1434996 2152494 3228741 4304988 6457482 12914964