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131415856 = 241113193023
BaseRepresentation
bin1111101010100…
…11111100110000
3100011021121122221
413311103330300
5232120301411
621012410424
73154005415
oct765237460
9304247587
10131415856
11681a9750
1238016a14
13212c3080
141364c10c
15b80d071
hex7d53f30

131415856 has 80 divisors (see below), whose sum is σ = 314979840. Its totient is φ = 52220160.

The previous prime is 131415853. The next prime is 131415857. The reversal of 131415856 is 658514131.

It is not an unprimeable number, because it can be changed into a prime (131415853) 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, 41961 + ... + 44983.

It is an arithmetic number, because the mean of its divisors is an integer number (3937248).

Almost surely, 2131415856 is an apocalyptic number.

131415856 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 131415856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157489920).

131415856 is an abundant number, since it is smaller than the sum of its proper divisors (183563984).

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

131415856 is a wasteful number, since it uses less digits than its factorization.

131415856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3074 (or 3068 counting only the distinct ones).

The product of its digits is 14400, while the sum is 34.

The square root of 131415856 is about 11463.6755013390. The cubic root of 131415856 is about 508.4121523457.

Adding to 131415856 its reverse (658514131), we get a palindrome (789929987).

The spelling of 131415856 in words is "one hundred thirty-one million, four hundred fifteen thousand, eight hundred fifty-six".

Divisors: 1 2 4 8 11 13 16 19 22 26 38 44 52 76 88 104 143 152 176 208 209 247 286 304 418 494 572 836 988 1144 1672 1976 2288 2717 3023 3344 3952 5434 6046 10868 12092 21736 24184 33253 39299 43472 48368 57437 66506 78598 114874 133012 157196 229748 266024 314392 432289 459496 532048 628784 631807 746681 864578 918992 1263614 1493362 1729156 2527228 2986724 3458312 5054456 5973448 6916624 8213491 10108912 11946896 16426982 32853964 65707928 131415856