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131984512 = 271193739
BaseRepresentation
bin1111101110111…
…10110010000000
3100012100111201021
413313132302000
5232242001022
621032515224
73161564332
oct767366200
9305314637
10131984512
1168557a10
123824bb14
1321461b5a
1413759452
15b8c17c7
hex7ddec80

131984512 has 32 divisors (see below), whose sum is σ = 286844400. Its totient is φ = 59992320.

The previous prime is 131984497. The next prime is 131984533. The reversal of 131984512 is 215489131.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×1319845122 = 34839822815756288, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 45462 + ... + 48277.

Almost surely, 2131984512 is an apocalyptic number.

It is an amenable number.

131984512 is an abundant number, since it is smaller than the sum of its proper divisors (154859888).

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

131984512 is an equidigital number, since it uses as much as digits as its factorization.

131984512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93764 (or 93752 counting only the distinct ones).

The product of its digits is 8640, while the sum is 34.

The square root of 131984512 is about 11488.4512446195. The cubic root of 131984512 is about 509.1444222041.

It can be divided in two parts, 131984 and 512, that added together give a square (132496 = 3642).

The spelling of 131984512 in words is "one hundred thirty-one million, nine hundred eighty-four thousand, five hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 352 704 1408 93739 187478 374956 749912 1031129 1499824 2062258 2999648 4124516 5999296 8249032 11998592 16498064 32996128 65992256 131984512