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12528680 = 2352931069
BaseRepresentation
bin101111110010…
…110000101000
3212120112010012
4233302300220
511201404210
61124311052
7211330523
oct57626050
925515105
1012528680
117087a8a
124242488
132798828
141941bba
151177305
hexbf2c28

12528680 has 32 divisors (see below), whose sum is σ = 28312200. Its totient is φ = 4989696.

The previous prime is 12528671. The next prime is 12528683. The reversal of 12528680 is 8682521.

12528680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 12013156 + 515524 = 3466^2 + 718^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12528683) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11186 + ... + 12254.

Almost surely, 212528680 is an apocalyptic number.

12528680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12528680 is an abundant number, since it is smaller than the sum of its proper divisors (15783520).

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

12528680 is a wasteful number, since it uses less digits than its factorization.

12528680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1373 (or 1369 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 32.

The square root of 12528680 is about 3539.5875465935. The cubic root of 12528680 is about 232.2568004627.

The spelling of 12528680 in words is "twelve million, five hundred twenty-eight thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 293 586 1069 1172 1465 2138 2344 2930 4276 5345 5860 8552 10690 11720 21380 42760 313217 626434 1252868 1566085 2505736 3132170 6264340 12528680