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131479686 = 23413149419
BaseRepresentation
bin1111101011000…
…11100010000110
3100011101212020000
413311203202012
5232124322221
621014022130
73154362462
oct765434206
9304355200
10131479686
11682426a8
1238047946
1321316140
14136674a2
15b821e26
hex7d63886

131479686 has 80 divisors (see below), whose sum is σ = 320166000. Its totient is φ = 40087872.

The previous prime is 131479669. The next prime is 131479693. The reversal of 131479686 is 686974131.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 313585 + ... + 314003.

It is an arithmetic number, because the mean of its divisors is an integer number (4002075).

Almost surely, 2131479686 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131479686, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160083000).

131479686 is an abundant number, since it is smaller than the sum of its proper divisors (188686314).

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

131479686 is a wasteful number, since it uses less digits than its factorization.

131479686 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 595 (or 586 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 131479686 is about 11466.4591744793. The cubic root of 131479686 is about 508.4944526505.

The spelling of 131479686 in words is "one hundred thirty-one million, four hundred seventy-nine thousand, six hundred eighty-six".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 117 149 162 234 298 351 419 447 702 838 894 1053 1257 1341 1937 2106 2514 2682 3771 3874 4023 5447 5811 7542 8046 10894 11313 11622 12069 16341 17433 22626 24138 32682 33939 34866 49023 52299 62431 67878 98046 104598 124862 147069 156897 187293 294138 313794 374586 441207 561879 811603 882414 1123758 1623206 1685637 2434809 3371274 4869618 5056911 7304427 10113822 14608854 21913281 43826562 65739843 131479686