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131382756 = 22331216507
BaseRepresentation
bin1111101010010…
…11110111100100
3100011012221021000
413311023313210
5232113222011
621011553300
73153510051
oct765136744
9304187230
10131382756
116818689a
1237bbb830
13212b0c9b
1413640028
15b803356
hex7d4bde4

131382756 has 24 divisors (see below), whose sum is σ = 340622240. Its totient is φ = 43794216.

The previous prime is 131382751. The next prime is 131382763. The reversal of 131382756 is 657283131.

It is a super-2 number, since 2×1313827562 = 34522857148311072, which contains 22 as substring.

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 131382756.

It is not an unprimeable number, because it can be changed into a prime (131382751) 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, 608146 + ... + 608361.

Almost surely, 2131382756 is an apocalyptic number.

It is an amenable number.

131382756 is an abundant number, since it is smaller than the sum of its proper divisors (209239484).

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

131382756 is a wasteful number, since it uses less digits than its factorization.

131382756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1216520 (or 1216512 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 131382756 is about 11462.2317198703. The cubic root of 131382756 is about 508.3694638000.

The spelling of 131382756 in words is "one hundred thirty-one million, three hundred eighty-two thousand, seven hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 1216507 2433014 3649521 4866028 7299042 10948563 14598084 21897126 32845689 43794252 65691378 131382756