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131665632 = 2537195931
BaseRepresentation
bin1111101100100…
…00111011100000
3100011202022021220
413312100323200
5232201300012
621022015040
73156065550
oct766207340
9304668256
10131665632
116835a37a
1238117480
132137c977
14136b5160
15b85c08c
hex7d90ee0

131665632 has 48 divisors (see below), whose sum is σ = 394998912. Its totient is φ = 37618560.

The previous prime is 131665609. The next prime is 131665669. The reversal of 131665632 is 236566131.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 131665593 and 131665602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 97294 + ... + 98637.

It is an arithmetic number, because the mean of its divisors is an integer number (8229144).

Almost surely, 2131665632 is an apocalyptic number.

131665632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131665632 is an abundant number, since it is smaller than the sum of its proper divisors (263333280).

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

131665632 is a wasteful number, since it uses less digits than its factorization.

131665632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195951 (or 195943 counting only the distinct ones).

The product of its digits is 19440, while the sum is 33.

The square root of 131665632 is about 11474.5645669019. The cubic root of 131665632 is about 508.7340535945.

The spelling of 131665632 in words is "one hundred thirty-one million, six hundred sixty-five thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 195931 391862 587793 783724 1175586 1371517 1567448 2351172 2743034 3134896 4114551 4702344 5486068 6269792 8229102 9404688 10972136 16458204 18809376 21944272 32916408 43888544 65832816 131665632