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131639772 = 223112175333
BaseRepresentation
bin1111101100010…
…10100111011100
3100011200222211010
413312022213130
5232144433042
621021255220
73155630265
oct766124734
9304628733
10131639772
1168341a00
1238104510
1321370c74
14136a996c
15b85459c
hex7d8a9dc

131639772 has 72 divisors (see below), whose sum is σ = 357548688. Its totient is φ = 37537280.

The previous prime is 131639759. The next prime is 131639777. The reversal of 131639772 is 277936131.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 131639772.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131639777) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22018 + ... + 27350.

It is an arithmetic number, because the mean of its divisors is an integer number (4965954).

Almost surely, 2131639772 is an apocalyptic number.

131639772 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131639772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178774344).

131639772 is an abundant number, since it is smaller than the sum of its proper divisors (225908916).

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

131639772 is a wasteful number, since it uses less digits than its factorization.

131639772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5379 (or 5366 counting only the distinct ones).

The product of its digits is 47628, while the sum is 39.

The square root of 131639772 is about 11473.4376714218. The cubic root of 131639772 is about 508.7007451707.

The spelling of 131639772 in words is "one hundred thirty-one million, six hundred thirty-nine thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 51 66 68 102 121 132 187 204 242 363 374 484 561 726 748 1122 1452 2057 2244 4114 5333 6171 8228 10666 12342 15999 21332 24684 31998 58663 63996 90661 117326 175989 181322 234652 271983 351978 362644 543966 645293 703956 997271 1087932 1290586 1935879 1994542 2581172 2991813 3871758 3989084 5983626 7743516 10969981 11967252 21939962 32909943 43879924 65819886 131639772