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12916464 = 24311171439
BaseRepresentation
bin110001010001…
…011011110000
3220022020001120
4301101123300
511301311324
61140502240
7214534221
oct61213360
926266046
1012916464
117322370
1243aa980
1328a31a2
141a03248
151202179
hexc516f0

12916464 has 80 divisors (see below), whose sum is σ = 38568960. Its totient is φ = 3681280.

The previous prime is 12916451. The next prime is 12916487. The reversal of 12916464 is 46461921.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 8257 + ... + 9695.

It is an arithmetic number, because the mean of its divisors is an integer number (482112).

Almost surely, 212916464 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 12916464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19284480).

12916464 is an abundant number, since it is smaller than the sum of its proper divisors (25652496).

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

12916464 is a wasteful number, since it uses less digits than its factorization.

12916464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1478 (or 1472 counting only the distinct ones).

The product of its digits is 10368, while the sum is 33.

The square root of 12916464 is about 3593.9482467058. The cubic root of 12916464 is about 234.6287422931.

The spelling of 12916464 in words is "twelve million, nine hundred sixteen thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 33 34 44 48 51 66 68 88 102 132 136 176 187 204 264 272 374 408 528 561 748 816 1122 1439 1496 2244 2878 2992 4317 4488 5756 8634 8976 11512 15829 17268 23024 24463 31658 34536 47487 48926 63316 69072 73389 94974 97852 126632 146778 189948 195704 253264 269093 293556 379896 391408 538186 587112 759792 807279 1076372 1174224 1614558 2152744 3229116 4305488 6458232 12916464