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131456790 = 2335796163
BaseRepresentation
bin1111101010111…
…01111100010110
3100011100200211000
413311131330112
5232123104130
621013324130
73154235643
oct765357426
9304320730
10131456790
1168227483
1238036646
13213088aa
141365cdca
15b81a260
hex7d5df16

131456790 has 64 divisors (see below), whose sum is σ = 355046400. Its totient is φ = 34605792.

The previous prime is 131456777. The next prime is 131456807. The reversal of 131456790 is 97654131.

131456790 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 567 + 90 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18249 + ... + 24411.

It is an arithmetic number, because the mean of its divisors is an integer number (5547600).

Almost surely, 2131456790 is an apocalyptic number.

131456790 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131456790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177523200).

131456790 is an abundant number, since it is smaller than the sum of its proper divisors (223589610).

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

131456790 is a wasteful number, since it uses less digits than its factorization.

131456790 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6258 (or 6252 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 131456790 is about 11465.4607408512. The cubic root of 131456790 is about 508.4649343646.

The spelling of 131456790 in words is "one hundred thirty-one million, four hundred fifty-six thousand, seven hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 79 90 135 158 237 270 395 474 711 790 1185 1422 2133 2370 3555 4266 6163 7110 10665 12326 18489 21330 30815 36978 55467 61630 92445 110934 166401 184890 277335 332802 486877 554670 832005 973754 1460631 1664010 2434385 2921262 4381893 4868770 7303155 8763786 13145679 14606310 21909465 26291358 43818930 65728395 131456790