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131714360 = 2358397409
BaseRepresentation
bin1111101100111…
…00110100111000
3100011211210010122
413312130310320
5232204324420
621023032412
73156360611
oct766346470
9304753118
10131714360
1168392a48
123813b708
1321398bbb
14136c8c08
15b86b725
hex7d9cd38

131714360 has 64 divisors (see below), whose sum is σ = 303760800. Its totient is φ = 51388416.

The previous prime is 131714357. The next prime is 131714369. The reversal of 131714360 is 63417131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131714369) 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, 321836 + ... + 322244.

Almost surely, 2131714360 is an apocalyptic number.

131714360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131714360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151880400).

131714360 is an abundant number, since it is smaller than the sum of its proper divisors (172046440).

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

131714360 is a wasteful number, since it uses less digits than its factorization.

131714360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 600 (or 596 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 26.

The square root of 131714360 is about 11476.6876754576. The cubic root of 131714360 is about 508.7968048103.

The spelling of 131714360 in words is "one hundred thirty-one million, seven hundred fourteen thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 83 97 166 194 332 388 409 415 485 664 776 818 830 970 1636 1660 1940 2045 3272 3320 3880 4090 8051 8180 16102 16360 32204 33947 39673 40255 64408 67894 79346 80510 135788 158692 161020 169735 198365 271576 317384 322040 339470 396730 678940 793460 1357880 1586920 3292859 6585718 13171436 16464295 26342872 32928590 65857180 131714360