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131532576 = 2537195733
BaseRepresentation
bin1111101011100…
…00011100100000
3100011111112202220
413311300130200
5232133020301
621015111040
73155002620
oct765603440
9304445686
10131532576
116827940a
1238072480
1321334236
141367c880
15b832936
hex7d70720

131532576 has 48 divisors (see below), whose sum is σ = 394599744. Its totient is φ = 37580544.

The previous prime is 131532539. The next prime is 131532617. The reversal of 131532576 is 675235131.

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

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, 97195 + ... + 98538.

It is an arithmetic number, because the mean of its divisors is an integer number (8220828).

Almost surely, 2131532576 is an apocalyptic number.

131532576 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

131532576 is an abundant number, since it is smaller than the sum of its proper divisors (263067168).

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

131532576 is a wasteful number, since it uses less digits than its factorization.

131532576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195753 (or 195745 counting only the distinct ones).

The product of its digits is 18900, while the sum is 33.

The square root of 131532576 is about 11468.7652343223. The cubic root of 131532576 is about 508.5626271013.

The spelling of 131532576 in words is "one hundred thirty-one million, five hundred thirty-two thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 195733 391466 587199 782932 1174398 1370131 1565864 2348796 2740262 3131728 4110393 4697592 5480524 6263456 8220786 9395184 10961048 16441572 18790368 21922096 32883144 43844192 65766288 131532576