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12668580 = 2232570381
BaseRepresentation
bin110000010100…
…111010100100
3212211122000200
4300110322210
511220343310
61131310500
7212452431
oct60247244
925748020
1012668580
117173101
1242ab430
132817402
14197ab88
1511a39c0
hexc14ea4

12668580 has 36 divisors (see below), whose sum is σ = 38428572. Its totient is φ = 3378240.

The previous prime is 12668569. The next prime is 12668603. The reversal of 12668580 is 8586621.

It is a happy number.

12668580 is a `hidden beast` number, since 12 + 6 + 68 + 580 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4235364 + 8433216 = 2058^2 + 2904^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35011 + ... + 35370.

Almost surely, 212668580 is an apocalyptic number.

12668580 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12668580 is an abundant number, since it is smaller than the sum of its proper divisors (25759992).

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

12668580 is a wasteful number, since it uses less digits than its factorization.

12668580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70396 (or 70391 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 12668580 is about 3559.2948739884. The cubic root of 12668580 is about 233.1180917579.

The spelling of 12668580 in words is "twelve million, six hundred sixty-eight thousand, five hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 70381 140762 211143 281524 351905 422286 633429 703810 844572 1055715 1266858 1407620 2111430 2533716 3167145 4222860 6334290 12668580