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131897024 = 2672137307
BaseRepresentation
bin1111101110010…
…01011011000000
3100012012001200222
413313021123000
5232231201044
621031002212
73161051300
oct767113300
9305161628
10131897024
11684a8206
1238209368
132143109c
1413735600
15b8a58ee
hex7dc96c0

131897024 has 84 divisors (see below), whose sum is σ = 307686456. Its totient is φ = 55931904.

The previous prime is 131897009. The next prime is 131897027. The reversal of 131897024 is 420798131.

It is not an unprimeable number, because it can be changed into a prime (131897027) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 429479 + ... + 429785.

It is an arithmetic number, because the mean of its divisors is an integer number (3662934).

Almost surely, 2131897024 is an apocalyptic number.

131897024 is a gapful number since it is divisible by the number (14) 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 131897024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153843228).

131897024 is an abundant number, since it is smaller than the sum of its proper divisors (175789432).

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

131897024 is a wasteful number, since it uses less digits than its factorization.

131897024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 35.

The square root of 131897024 is about 11484.6429635405. The cubic root of 131897024 is about 509.0318992209.

The spelling of 131897024 in words is "one hundred thirty-one million, eight hundred ninety-seven thousand, twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 137 196 224 274 307 392 448 548 614 784 959 1096 1228 1568 1918 2149 2192 2456 3136 3836 4298 4384 4912 6713 7672 8596 8768 9824 13426 15043 15344 17192 19648 26852 30086 30688 34384 42059 53704 60172 61376 68768 84118 107408 120344 137536 168236 214816 240688 294413 336472 429632 481376 588826 672944 962752 1177652 1345888 2060891 2355304 2691776 4121782 4710608 8243564 9421216 16487128 18842432 32974256 65948512 131897024