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131347760 = 2451986413
BaseRepresentation
bin1111101010000…
…11010100110000
3100011011011020212
413311003110300
5232111112020
621011123252
73153303035
oct765032460
9304134225
10131347760
1168162575
1237ba3528
132129b08b
141363138c
15b7e7cc5
hex7d43530

131347760 has 40 divisors (see below), whose sum is σ = 321460080. Its totient is φ = 49773312.

The previous prime is 131347753. The next prime is 131347781. The reversal of 131347760 is 67743131.

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

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, 41687 + ... + 44726.

It is an arithmetic number, because the mean of its divisors is an integer number (8036502).

Almost surely, 2131347760 is an apocalyptic number.

131347760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131347760 is an abundant number, since it is smaller than the sum of its proper divisors (190112320).

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

131347760 is a wasteful number, since it uses less digits than its factorization.

131347760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86445 (or 86439 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 32.

The square root of 131347760 is about 11460.7050393944. The cubic root of 131347760 is about 508.3243222148.

The spelling of 131347760 in words is "one hundred thirty-one million, three hundred forty-seven thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 304 380 760 1520 86413 172826 345652 432065 691304 864130 1382608 1641847 1728260 3283694 3456520 6567388 6913040 8209235 13134776 16418470 26269552 32836940 65673880 131347760