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12956560 = 245161957
BaseRepresentation
bin110001011011…
…001110010000
3220101021001121
4301123032100
511304102220
61141412024
7215062141
oct61331620
926337047
1012956560
11734a501
12440a014
1328b8506
141a13ac8
15120deaa
hexc5b390

12956560 has 20 divisors (see below), whose sum is σ = 30124188. Its totient is φ = 5182592.

The previous prime is 12956509. The next prime is 12956563. The reversal of 12956560 is 6565921.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 9437184 + 3519376 = 3072^2 + 1876^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is not an unprimeable number, because it can be changed into a prime (12956563) 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 3 ways as a sum of consecutive naturals, for example, 80899 + ... + 81058.

Almost surely, 212956560 is an apocalyptic number.

12956560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12956560 is an abundant number, since it is smaller than the sum of its proper divisors (17167628).

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

12956560 is a wasteful number, since it uses less digits than its factorization.

12956560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161970 (or 161964 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 34.

The square root of 12956560 is about 3599.5221905136. The cubic root of 12956560 is about 234.8712740004.

The spelling of 12956560 in words is "twelve million, nine hundred fifty-six thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 161957 323914 647828 809785 1295656 1619570 2591312 3239140 6478280 12956560