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12308864 = 272337113
BaseRepresentation
bin101110111101…
…000110000000
3212011100120212
4232331012000
511122340424
61115453252
7206423621
oct56750600
925140525
1012308864
116a47917
124157228
13271c769
1418c5a48
15113210e
hexbbd180

12308864 has 64 divisors (see below), whose sum is σ = 26511840. Its totient is φ = 5677056.

The previous prime is 12308861. The next prime is 12308873. The reversal of 12308864 is 46880321.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 12308864.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12308861) 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 7 ways as a sum of consecutive naturals, for example, 108872 + ... + 108984.

Almost surely, 212308864 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 12308864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13255920).

12308864 is an abundant number, since it is smaller than the sum of its proper divisors (14202976).

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

12308864 is a wasteful number, since it uses less digits than its factorization.

12308864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 12308864 is about 3508.3990651008. The cubic root of 12308864 is about 230.8904611118.

The spelling of 12308864 in words is "twelve million, three hundred eight thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 16 23 32 37 46 64 74 92 113 128 148 184 226 296 368 452 592 736 851 904 1184 1472 1702 1808 2368 2599 2944 3404 3616 4181 4736 5198 6808 7232 8362 10396 13616 14464 16724 20792 27232 33448 41584 54464 66896 83168 96163 108928 133792 166336 192326 267584 332672 384652 535168 769304 1538608 3077216 6154432 12308864