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131739426 = 233713171983
BaseRepresentation
bin1111101101000…
…10111100100010
3100011220001112000
413312202330202
5232211130201
621023344430
73156523650
oct766427442
9304801460
10131739426
11683aa865
1238152116
13213a7430
14136d3dd0
15b873d86
hex7da2f22

131739426 has 256 divisors, whose sum is σ = 406425600. Its totient is φ = 30606336.

The previous prime is 131739383. The next prime is 131739467. The reversal of 131739426 is 624937131.

Its product of digits (27216) is a multiple of the sum of its prime divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1587181 + ... + 1587263.

It is an arithmetic number, because the mean of its divisors is an integer number (1587600).

Almost surely, 2131739426 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131739426, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203212800).

131739426 is an abundant number, since it is smaller than the sum of its proper divisors (274686174).

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

131739426 is a wasteful number, since it uses less digits than its factorization.

131739426 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 144 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 131739426 is about 11477.7796633321. The cubic root of 131739426 is about 508.8290784155.

The spelling of 131739426 in words is "one hundred thirty-one million, seven hundred thirty-nine thousand, four hundred twenty-six".