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12966560 = 25581041
BaseRepresentation
bin110001011101…
…101010100000
3220101202202222
4301131222200
511304412220
61141530212
7215133245
oct61355240
926352688
1012966560
117356a72
124413968
1328bcc29
141a175cc
151211e25
hexc5daa0

12966560 has 24 divisors (see below), whose sum is σ = 30633876. Its totient is φ = 5186560.

The previous prime is 12966559. The next prime is 12966589. The reversal of 12966560 is 6566921.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 12931216 + 35344 = 3596^2 + 188^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 12966560.

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, 40361 + ... + 40680.

Almost surely, 212966560 is an apocalyptic number.

12966560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12966560 is an abundant number, since it is smaller than the sum of its proper divisors (17667316).

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

12966560 is an equidigital number, since it uses as much as digits as its factorization.

12966560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81056 (or 81048 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 35.

The square root of 12966560 is about 3600.9109958454. The cubic root of 12966560 is about 234.9316837785.

The spelling of 12966560 in words is "twelve million, nine hundred sixty-six thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 81041 162082 324164 405205 648328 810410 1296656 1620820 2593312 3241640 6483280 12966560