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131886072 = 23321831751
BaseRepresentation
bin1111101110001…
…10101111111000
3100012011111200100
413313012233320
5232230323242
621030435400
73161004333
oct767065770
9305144610
10131886072
116849aa5a
1238202b60
13214290c6
141373161a
15b8a254c
hex7dc6bf8

131886072 has 24 divisors (see below), whose sum is σ = 357191640. Its totient is φ = 43962000.

The previous prime is 131886067. The next prime is 131886077. The reversal of 131886072 is 270688131.

It is an interprime number because it is at equal distance from previous prime (131886067) and next prime (131886077).

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131886077) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 915804 + ... + 915947.

It is an arithmetic number, because the mean of its divisors is an integer number (14882985).

Almost surely, 2131886072 is an apocalyptic number.

131886072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131886072 is an abundant number, since it is smaller than the sum of its proper divisors (225305568).

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

131886072 is a wasteful number, since it uses less digits than its factorization.

131886072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1831763 (or 1831756 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 131886072 is about 11484.1661429988. The cubic root of 131886072 is about 509.0178097656.

The spelling of 131886072 in words is "one hundred thirty-one million, eight hundred eighty-six thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1831751 3663502 5495253 7327004 10990506 14654008 16485759 21981012 32971518 43962024 65943036 131886072