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131850096 = 24371741563
BaseRepresentation
bin1111101101111…
…01111101110000
3100012002200022220
413312331331300
5232223200341
621030001040
73160464420
oct766757560
9305080286
10131850096
1168475a24
12381a6180
1321415911
1413722480
15b896a66
hex7dbdf70

131850096 has 160 divisors (see below), whose sum is σ = 422972928. Its totient is φ = 34529280.

The previous prime is 131850091. The next prime is 131850107. The reversal of 131850096 is 690058131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131850091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 233911 + ... + 234473.

Almost surely, 2131850096 is an apocalyptic number.

131850096 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 131850096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211486464).

131850096 is an abundant number, since it is smaller than the sum of its proper divisors (291122832).

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

131850096 is a wasteful number, since it uses less digits than its factorization.

131850096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 639 (or 633 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 33.

The square root of 131850096 is about 11482.5997056416. The cubic root of 131850096 is about 508.9715221130.

The spelling of 131850096 in words is "one hundred thirty-one million, eight hundred fifty thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 34 41 42 48 51 56 68 82 84 102 112 119 123 136 164 168 204 238 246 272 287 328 336 357 408 476 492 563 574 656 697 714 816 861 952 984 1126 1148 1394 1428 1689 1722 1904 1968 2091 2252 2296 2788 2856 3378 3444 3941 4182 4504 4592 4879 5576 5712 6756 6888 7882 8364 9008 9571 9758 11152 11823 13512 13776 14637 15764 16728 19142 19516 23083 23646 27024 28713 29274 31528 33456 38284 39032 46166 47292 57426 58548 63056 66997 69249 76568 78064 92332 94584 114852 117096 133994 138498 153136 161581 184664 189168 200991 229704 234192 267988 276996 323162 369328 392411 401982 459408 484743 535976 553992 646324 784822 803964 969486 1071952 1107984 1177233 1292648 1569644 1607928 1938972 2354466 2585296 2746877 3139288 3215856 3877944 4708932 5493754 6278576 7755888 8240631 9417864 10987508 16481262 18835728 21975016 32962524 43950032 65925048 131850096