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12961590 = 235432053
BaseRepresentation
bin110001011100…
…011100110110
3220101111221220
4301130130312
511304232330
61141451210
7215112615
oct61343466
926344856
1012961590
117353264
124410b06
1328ba8a5
141a1587c
151210710
hexc5c736

12961590 has 16 divisors (see below), whose sum is σ = 31107888. Its totient is φ = 3456416.

The previous prime is 12961583. The next prime is 12961601. The reversal of 12961590 is 9516921.

It is a super-3 number, since 3×129615903 (a number of 22 digits) contains 333 as substring.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 215997 + ... + 216056.

It is an arithmetic number, because the mean of its divisors is an integer number (1944243).

Almost surely, 212961590 is an apocalyptic number.

12961590 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12961590 is an abundant number, since it is smaller than the sum of its proper divisors (18146298).

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

12961590 is a wasteful number, since it uses less digits than its factorization.

12961590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432063.

The product of its (nonzero) digits is 4860, while the sum is 33.

The square root of 12961590 is about 3600.2208265605. The cubic root of 12961590 is about 234.9016640026.

The spelling of 12961590 in words is "twelve million, nine hundred sixty-one thousand, five hundred ninety".

Divisors: 1 2 3 5 6 10 15 30 432053 864106 1296159 2160265 2592318 4320530 6480795 12961590