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131867304 = 233314212
BaseRepresentation
bin1111101110000…
…10001010101000
3100012010112221020
413313002022220
5232224223204
621030212440
73160565532
oct767021250
9305115836
10131867304
1168487948
12381b4120
13214206ba
1413728852
15b89bbd9
hex7dc22a8

131867304 has 48 divisors (see below), whose sum is σ = 341112960. Its totient is φ = 42436800.

The previous prime is 131867291. The next prime is 131867341. The reversal of 131867304 is 403768131.

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 11 ways as a sum of consecutive naturals, for example, 313014 + ... + 313434.

It is an arithmetic number, because the mean of its divisors is an integer number (7106520).

Almost surely, 2131867304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131867304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170556480).

131867304 is an abundant number, since it is smaller than the sum of its proper divisors (209245656).

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

131867304 is an equidigital number, since it uses as much as digits as its factorization.

131867304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 882 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 131867304 is about 11483.3489888621. The cubic root of 131867304 is about 508.9936634215.

The spelling of 131867304 in words is "one hundred thirty-one million, eight hundred sixty-seven thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 186 248 372 421 744 842 1263 1684 2526 3368 5052 10104 13051 26102 39153 52204 78306 104408 156612 177241 313224 354482 531723 708964 1063446 1417928 2126892 4253784 5494471 10988942 16483413 21977884 32966826 43955768 65933652 131867304