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131683908 = 22319312601
BaseRepresentation
bin1111101100101…
…01011001000100
3100011210020100210
413312111121010
5232202341113
621022235420
73156203046
oct766253104
9304706323
10131683908
1168372084
1238125b70
1321388095
14136bba96
15b8626c3
hex7d95644

131683908 has 72 divisors (see below), whose sum is σ = 334760160. Its totient is φ = 40176000.

The previous prime is 131683883. The next prime is 131683919. The reversal of 131683908 is 809386131.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 218808 + ... + 219408.

Almost surely, 2131683908 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131683908, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167380080).

131683908 is an abundant number, since it is smaller than the sum of its proper divisors (203076252).

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

131683908 is a wasteful number, since it uses less digits than its factorization.

131683908 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 689 (or 656 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The square root of 131683908 is about 11475.3609093571. The cubic root of 131683908 is about 508.7575909779.

The spelling of 131683908 in words is "one hundred thirty-one million, six hundred eighty-three thousand, nine hundred eight".

Divisors: 1 2 3 4 6 12 19 31 38 57 62 76 93 114 124 186 228 372 589 601 961 1178 1202 1767 1803 1922 2356 2404 2883 3534 3606 3844 5766 7068 7212 11419 11532 18259 18631 22838 34257 36518 37262 45676 54777 55893 68514 73036 74524 109554 111786 137028 219108 223572 353989 577561 707978 1061967 1155122 1415956 1732683 2123934 2310244 3465366 4247868 6930732 10973659 21947318 32920977 43894636 65841954 131683908