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12926664 = 23321759179
BaseRepresentation
bin110001010011…
…111011001000
3220022202001100
4301103323020
511302123124
61141021400
7214606032
oct61237310
926282040
1012926664
117329aa3
1243b4860
1328a7a1a
141a06c52
1512051c9
hexc53ec8

12926664 has 96 divisors (see below), whose sum is σ = 37908000. Its totient is φ = 3964416.

The previous prime is 12926651. The next prime is 12926671. The reversal of 12926664 is 46662921.

12926664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 23 ways as a sum of consecutive naturals, for example, 72127 + ... + 72305.

It is an arithmetic number, because the mean of its divisors is an integer number (394875).

Almost surely, 212926664 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 12926664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18954000).

12926664 is an abundant number, since it is smaller than the sum of its proper divisors (24981336).

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

12926664 is a wasteful number, since it uses less digits than its factorization.

12926664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 260 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 12926664 is about 3595.3670188174. The cubic root of 12926664 is about 234.6904873518.

The spelling of 12926664 in words is "twelve million, nine hundred twenty-six thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 59 68 72 102 118 136 153 177 179 204 236 306 354 358 408 472 531 537 612 708 716 1003 1062 1074 1224 1416 1432 1611 2006 2124 2148 3009 3043 3222 4012 4248 4296 6018 6086 6444 8024 9027 9129 10561 12036 12172 12888 18054 18258 21122 24072 24344 27387 31683 36108 36516 42244 54774 63366 72216 73032 84488 95049 109548 126732 179537 190098 219096 253464 359074 380196 538611 718148 760392 1077222 1436296 1615833 2154444 3231666 4308888 6463332 12926664