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131946630 = 23523191227
BaseRepresentation
bin1111101110101…
…01100010000110
3100012021120202020
413313111202012
5232234243010
621032024010
73161346024
oct767254206
9305246666
10131946630
1168531502
1238232006
132144a83a
1413749714
15b8b5470
hex7dd5886

131946630 has 32 divisors (see below), whose sum is σ = 330441984. Its totient is φ = 33655776.

The previous prime is 131946611. The next prime is 131946637. The reversal of 131946630 is 36649131.

It is a junction number, because it is equal to n+sod(n) for n = 131946591 and 131946600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131946637) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94924 + ... + 96303.

It is an arithmetic number, because the mean of its divisors is an integer number (10326312).

Almost surely, 2131946630 is an apocalyptic number.

131946630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131946630 is an abundant number, since it is smaller than the sum of its proper divisors (198495354).

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

131946630 is a wasteful number, since it uses less digits than its factorization.

131946630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191260.

The product of its (nonzero) digits is 11664, while the sum is 33.

The square root of 131946630 is about 11486.8024271335. The cubic root of 131946630 is about 509.0957062492.

The spelling of 131946630 in words is "one hundred thirty-one million, nine hundred forty-six thousand, six hundred thirty".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 115 138 230 345 690 191227 382454 573681 956135 1147362 1912270 2868405 4398221 5736810 8796442 13194663 21991105 26389326 43982210 65973315 131946630