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131515060 = 22517386809
BaseRepresentation
bin1111101011011…
…00001010110100
3100011110122202011
413311230022310
5232131440220
621014454004
73154600555
oct765541264
9304418664
10131515060
1168267236
1238064304
1321329281
141367632c
15b82c65a
hex7d6c2b4

131515060 has 24 divisors (see below), whose sum is σ = 292428360. Its totient is φ = 49511424.

The previous prime is 131515049. The next prime is 131515061. The reversal of 131515060 is 60515131.

It can be written as a sum of positive squares in 4 ways, for example, as 3055504 + 128459556 = 1748^2 + 11334^2 .

It is a super-2 number, since 2×1315150602 = 34592422013607200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131515061) 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, 193065 + ... + 193744.

It is an arithmetic number, because the mean of its divisors is an integer number (12184515).

Almost surely, 2131515060 is an apocalyptic number.

131515060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131515060 is an abundant number, since it is smaller than the sum of its proper divisors (160913300).

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

131515060 is a wasteful number, since it uses less digits than its factorization.

131515060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386835 (or 386833 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 22.

The square root of 131515060 is about 11468.0015695848. The cubic root of 131515060 is about 508.5400512531.

The spelling of 131515060 in words is "one hundred thirty-one million, five hundred fifteen thousand, sixty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 386809 773618 1547236 1934045 3868090 6575753 7736180 13151506 26303012 32878765 65757530 131515060