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131860960 = 25572112139
BaseRepresentation
bin1111101110000…
…00100111100000
3100012010020020021
413313000213200
5232224022320
621030123224
73160541200
oct767004740
9305106207
10131860960
1168483100
12381b0514
132141a84a
1413726400
15b899daa
hex7dc09e0

131860960 has 216 divisors, whose sum is σ = 401186520. Its totient is φ = 40803840.

The previous prime is 131860951. The next prime is 131860997. The reversal of 131860960 is 69068131.

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 948571 + ... + 948709.

It is an arithmetic number, because the mean of its divisors is an integer number (1857345).

Almost surely, 2131860960 is an apocalyptic number.

131860960 is a gapful number since it is divisible by the number (10) 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 131860960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200593260).

131860960 is an abundant number, since it is smaller than the sum of its proper divisors (269325560).

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

131860960 is a wasteful number, since it uses less digits than its factorization.

131860960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 34.

The square root of 131860960 is about 11483.0727595013. The cubic root of 131860960 is about 508.9855009038.

The spelling of 131860960 in words is "one hundred thirty-one million, eight hundred sixty thousand, nine hundred sixty".