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12568680 = 2332534913
BaseRepresentation
bin101111111100…
…100001101000
3212122112222200
4233330201220
511204144210
61125220200
7211555245
oct57744150
925575880
1012568680
117105043
124261660
1327b0ab7
1419525cc
1511840c0
hexbfc868

12568680 has 48 divisors (see below), whose sum is σ = 40849380. Its totient is φ = 3351552.

The previous prime is 12568679. The next prime is 12568697. The reversal of 12568680 is 8686521.

It is a happy number.

12568680 is a `hidden beast` number, since 12 + 568 + 6 + 80 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 12489156 + 79524 = 3534^2 + 282^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17097 + ... + 17816.

Almost surely, 212568680 is an apocalyptic number.

12568680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12568680 is an abundant number, since it is smaller than the sum of its proper divisors (28280700).

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

12568680 is a wasteful number, since it uses less digits than its factorization.

12568680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34930 (or 34923 counting only the distinct ones).

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

The square root of 12568680 is about 3545.2334196778. The cubic root of 12568680 is about 232.5037113525.

The spelling of 12568680 in words is "twelve million, five hundred sixty-eight thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 34913 69826 104739 139652 174565 209478 279304 314217 349130 418956 523695 628434 698260 837912 1047390 1256868 1396520 1571085 2094780 2513736 3142170 4189560 6284340 12568680