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131347392 = 2631162191
BaseRepresentation
bin1111101010000…
…11001111000000
3100011011010202020
413311003033000
5232111104032
621011121440
73153302001
oct765031700
9304133666
10131347392
1168162270
1237ba3280
132129ab67
14136311a8
15b7e7b2c
hex7d433c0

131347392 has 56 divisors (see below), whose sum is σ = 379122432. Its totient is φ = 39801600.

The previous prime is 131347379. The next prime is 131347397. The reversal of 131347392 is 293743131.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131347397) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28984 + ... + 33207.

Almost surely, 2131347392 is an apocalyptic number.

131347392 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131347392 is an abundant number, since it is smaller than the sum of its proper divisors (247775040).

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

131347392 is a wasteful number, since it uses less digits than its factorization.

131347392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62217 (or 62207 counting only the distinct ones).

The product of its digits is 13608, while the sum is 33.

The square root of 131347392 is about 11460.6889845244. The cubic root of 131347392 is about 508.3238474864.

The spelling of 131347392 in words is "one hundred thirty-one million, three hundred forty-seven thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 528 704 1056 2112 62191 124382 186573 248764 373146 497528 684101 746292 995056 1368202 1492584 1990112 2052303 2736404 2985168 3980224 4104606 5472808 5970336 8209212 10945616 11940672 16418424 21891232 32836848 43782464 65673696 131347392