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131062660 = 22554112113
BaseRepresentation
bin1111100111111…
…01101110000100
3100010121200011121
413303331232010
5232023001120
621001043324
73151004611
oct763755604
9303550147
10131062660
1167a88353
1237a86544
13211cb391
1413599508
15b78d5aa
hex7cfdb84

131062660 has 24 divisors (see below), whose sum is σ = 275763096. Its totient is φ = 52323840.

The previous prime is 131062619. The next prime is 131062669. The reversal of 131062660 is 66260131.

It can be written as a sum of positive squares in 4 ways, for example, as 3779136 + 127283524 = 1944^2 + 11282^2 .

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (131062669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4764 + ... + 16876.

It is an arithmetic number, because the mean of its divisors is an integer number (11490129).

Almost surely, 2131062660 is an apocalyptic number.

131062660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131062660 is an abundant number, since it is smaller than the sum of its proper divisors (144700436).

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

131062660 is a wasteful number, since it uses less digits than its factorization.

131062660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12663 (or 12661 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

The square root of 131062660 is about 11448.2601298189. The cubic root of 131062660 is about 507.9562706484.

The spelling of 131062660 in words is "one hundred thirty-one million, sixty-two thousand, six hundred sixty".

Divisors: 1 2 4 5 10 20 541 1082 2164 2705 5410 10820 12113 24226 48452 60565 121130 242260 6553133 13106266 26212532 32765665 65531330 131062660