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131657076 = 2234406349
BaseRepresentation
bin1111101100011…
…10110101110100
3100011201212120000
413312032311310
5232201011301
621021511300
73156031605
oct766166564
9304655500
10131657076
1168353a01
1238112530
1321378ac5
14136b1dac
15b859786
hex7d8ed74

131657076 has 30 divisors (see below), whose sum is σ = 344178450. Its totient is φ = 43885584.

The previous prime is 131657069. The next prime is 131657087. The reversal of 131657076 is 670756131.

131657076 is a `hidden beast` number, since 1 + 3 + 16 + 570 + 76 = 666.

It can be written as a sum of positive squares in only one way, i.e., 100520676 + 31136400 = 10026^2 + 5580^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 131657076.

It is a congruent number.

It is an unprimeable number.

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 9 ways as a sum of consecutive naturals, for example, 202851 + ... + 203498.

It is an arithmetic number, because the mean of its divisors is an integer number (11472615).

Almost surely, 2131657076 is an apocalyptic number.

It is an amenable number.

131657076 is an abundant number, since it is smaller than the sum of its proper divisors (212521374).

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

131657076 is a wasteful number, since it uses less digits than its factorization.

131657076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406365 (or 406354 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 131657076 is about 11474.1917362401. The cubic root of 131657076 is about 508.7230337032.

The spelling of 131657076 in words is "one hundred thirty-one million, six hundred fifty-seven thousand, seventy-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 406349 812698 1219047 1625396 2438094 3657141 4876188 7314282 10971423 14628564 21942846 32914269 43885692 65828538 131657076