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131390046 = 23319112739
BaseRepresentation
bin1111101010011…
…01101001011110
3100011020022021000
413311031221132
5232113440141
621012051130
73153540234
oct765155136
9304208230
10131390046
1168191317
1238003aa6
13212b43b8
1413642954
15b8055b6
hex7d4da5e

131390046 has 32 divisors (see below), whose sum is σ = 293529600. Its totient is φ = 43563960.

The previous prime is 131390041. The next prime is 131390047. The reversal of 131390046 is 640093131.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131390041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3945 + ... + 16683.

It is an arithmetic number, because the mean of its divisors is an integer number (9172800).

Almost surely, 2131390046 is an apocalyptic number.

131390046 is an abundant number, since it is smaller than the sum of its proper divisors (162139554).

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

131390046 is a wasteful number, since it uses less digits than its factorization.

131390046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12941 (or 12935 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 131390046 is about 11462.5497163589. The cubic root of 131390046 is about 508.3788662131.

The spelling of 131390046 in words is "one hundred thirty-one million, three hundred ninety thousand, forty-six".

Divisors: 1 2 3 6 9 18 27 54 191 382 573 1146 1719 3438 5157 10314 12739 25478 38217 76434 114651 229302 343953 687906 2433149 4866298 7299447 14598894 21898341 43796682 65695023 131390046