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12300928 = 27175653
BaseRepresentation
bin101110111011…
…001010000000
3212010221200221
4232323022000
511122112203
61115352424
7206361523
oct56731200
925127627
1012300928
116a41962
124152714
132718c73
1418c2bba
15112eabd
hexbbb280

12300928 has 32 divisors (see below), whose sum is σ = 25951860. Its totient is φ = 5787648.

The previous prime is 12300919. The next prime is 12300931. The reversal of 12300928 is 82900321.

It can be written as a sum of positive squares in 2 ways, for example, as 11235904 + 1065024 = 3352^2 + 1032^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×123009282 = 302625659322368, which contains 22 as substring.

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 3 ways as a sum of consecutive naturals, for example, 651 + ... + 5002.

Almost surely, 212300928 is an apocalyptic number.

It is an amenable number.

12300928 is an abundant number, since it is smaller than the sum of its proper divisors (13650932).

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

12300928 is an equidigital number, since it uses as much as digits as its factorization.

12300928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5684 (or 5672 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 12300928 is about 3507.2678825547. The cubic root of 12300928 is about 230.8408291113.

The spelling of 12300928 in words is "twelve million, three hundred thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 272 544 1088 2176 5653 11306 22612 45224 90448 96101 180896 192202 361792 384404 723584 768808 1537616 3075232 6150464 12300928