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131920956 = 223210933619
BaseRepresentation
bin1111101110011…
…11010000111100
3100012020021112100
413313033100330
5232232432311
621031305100
73161211126
oct767172074
9305207470
10131920956
1168514192
123821b190
132143bc4b
1413740216
15b8aca56
hex7dcf43c

131920956 has 36 divisors (see below), whose sum is σ = 336536200. Its totient is φ = 43568928.

The previous prime is 131920907. The next prime is 131920961. The reversal of 131920956 is 659029131.

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 self number, because there is not a number n which added to its sum of digits gives 131920956.

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 11 ways as a sum of consecutive naturals, for example, 12886 + ... + 20733.

Almost surely, 2131920956 is an apocalyptic number.

It is an amenable number.

131920956 is an abundant number, since it is smaller than the sum of its proper divisors (204615244).

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

131920956 is a wasteful number, since it uses less digits than its factorization.

131920956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33738 (or 33733 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The square root of 131920956 is about 11485.6848293865. The cubic root of 131920956 is about 509.0626843853.

The spelling of 131920956 in words is "one hundred thirty-one million, nine hundred twenty thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 109 218 327 436 654 981 1308 1962 3924 33619 67238 100857 134476 201714 302571 403428 605142 1210284 3664471 7328942 10993413 14657884 21986826 32980239 43973652 65960478 131920956