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131352260 = 22513505201
BaseRepresentation
bin1111101010001…
…00011011000100
3100011011101102112
413311010123010
5232111233020
621011200152
73153322124
oct765043304
9304141375
10131352260
1168165996
1237ba6058
13212a0140
1413632c84
15b7e92c5
hex7d446c4

131352260 has 24 divisors (see below), whose sum is σ = 297058776. Its totient is φ = 48499200.

The previous prime is 131352203. The next prime is 131352283. The reversal of 131352260 is 62253131.

It can be written as a sum of positive squares in 4 ways, for example, as 1893376 + 129458884 = 1376^2 + 11378^2 .

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, 252341 + ... + 252860.

It is an arithmetic number, because the mean of its divisors is an integer number (12377449).

Almost surely, 2131352260 is an apocalyptic number.

131352260 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131352260 is an abundant number, since it is smaller than the sum of its proper divisors (165706516).

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

131352260 is a wasteful number, since it uses less digits than its factorization.

131352260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505223 (or 505221 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 23.

The square root of 131352260 is about 11460.9013607133. The cubic root of 131352260 is about 508.3301272454.

The spelling of 131352260 in words is "one hundred thirty-one million, three hundred fifty-two thousand, two hundred sixty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 505201 1010402 2020804 2526005 5052010 6567613 10104020 13135226 26270452 32838065 65676130 131352260