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131880096 = 2533152639
BaseRepresentation
bin1111101110001…
…01010010100000
3100012011012111000
413313011102200
5232230130341
621030352000
73160651035
oct767052240
9305135430
10131880096
1168496517
12381bb600
132142647a
141372d38c
15b8a08b6
hex7dc54a0

131880096 has 48 divisors (see below), whose sum is σ = 384652800. Its totient is φ = 43959744.

The previous prime is 131880071. The next prime is 131880103. The reversal of 131880096 is 690088131.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 131880096.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 75456 + ... + 77183.

It is an arithmetic number, because the mean of its divisors is an integer number (8013600).

Almost surely, 2131880096 is an apocalyptic number.

131880096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

131880096 is an abundant number, since it is smaller than the sum of its proper divisors (252772704).

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

131880096 is a wasteful number, since it uses less digits than its factorization.

131880096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152658 (or 152644 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 131880096 is about 11483.9059557278. The cubic root of 131880096 is about 509.0101214724.

The spelling of 131880096 in words is "one hundred thirty-one million, eight hundred eighty thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 152639 305278 457917 610556 915834 1221112 1373751 1831668 2442224 2747502 3663336 4121253 4884448 5495004 7326672 8242506 10990008 14653344 16485012 21980016 32970024 43960032 65940048 131880096