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131656428 = 2235135449
BaseRepresentation
bin1111101100011…
…10101011101100
3100011201211200000
413312032223230
5232201001203
621021504300
73156026661
oct766165354
9304654600
10131656428
1168353472
1238112090
1321378717
14136b1a68
15b8594a3
hex7d8eaec

131656428 has 36 divisors (see below), whose sum is σ = 345126600. Its totient is φ = 43885152.

The previous prime is 131656409. The next prime is 131656463. The reversal of 131656428 is 824656131.

It is a happy number.

131656428 is a `hidden beast` number, since 1 + 3 + 1 + 6 + 5 + 642 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 131656392 and 131656401.

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 11 ways as a sum of consecutive naturals, for example, 66753 + ... + 68696.

It is an arithmetic number, because the mean of its divisors is an integer number (9586850).

Almost surely, 2131656428 is an apocalyptic number.

131656428 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

131656428 is an abundant number, since it is smaller than the sum of its proper divisors (213470172).

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

131656428 is a wasteful number, since it uses less digits than its factorization.

131656428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135468 (or 135454 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 131656428 is about 11474.1634989223. The cubic root of 131656428 is about 508.7221990777.

The spelling of 131656428 in words is "one hundred thirty-one million, six hundred fifty-six thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 972 135449 270898 406347 541796 812694 1219041 1625388 2438082 3657123 4876164 7314246 10971369 14628492 21942738 32914107 43885476 65828214 131656428