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131397376 = 2811291609
BaseRepresentation
bin1111101010011…
…11011100000000
3100011020200022111
413311033130000
5232114204001
621012145104
73153600505
oct765173400
9304220274
10131397376
1168196880
1238008194
13212b7836
14136454ac
15b807851
hex7d4f700

131397376 has 72 divisors (see below), whose sum is σ = 296175600. Its totient is φ = 57630720.

The previous prime is 131397349. The next prime is 131397421. The reversal of 131397376 is 673793131.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 80860 + ... + 82468.

It is an arithmetic number, because the mean of its divisors is an integer number (4113550).

Almost surely, 2131397376 is an apocalyptic number.

131397376 is a gapful number since it is divisible by the number (16) 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 131397376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148087800).

131397376 is an abundant number, since it is smaller than the sum of its proper divisors (164778224).

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

131397376 is a wasteful number, since it uses less digits than its factorization.

131397376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1665 (or 1651 counting only the distinct ones).

The product of its digits is 71442, while the sum is 40.

The square root of 131397376 is about 11462.8694487899. The cubic root of 131397376 is about 508.3883198663.

It can be divided in two parts, 1313 and 97376, that added together give a palindrome (98689).

The spelling of 131397376 in words is "one hundred thirty-one million, three hundred ninety-seven thousand, three hundred seventy-six".

Divisors: 1 2 4 8 11 16 22 29 32 44 58 64 88 116 128 176 232 256 319 352 464 638 704 928 1276 1408 1609 1856 2552 2816 3218 3712 5104 6436 7424 10208 12872 17699 20416 25744 35398 40832 46661 51488 70796 81664 93322 102976 141592 186644 205952 283184 373288 411904 513271 566368 746576 1026542 1132736 1493152 2053084 2265472 2986304 4106168 4530944 5972608 8212336 11945216 16424672 32849344 65698688 131397376