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131944680 = 23335731563
BaseRepresentation
bin1111101110101…
…01000011101000
3100012021111002000
413313111003220
5232234212210
621032011000
73161340240
oct767250350
9305244060
10131944680
116852aa9a
1238230a60
132144999a
1413748b20
15b8b4ac0
hex7dd50e8

131944680 has 256 divisors, whose sum is σ = 519782400. Its totient is φ = 29134080.

The previous prime is 131944679. The next prime is 131944691. The reversal of 131944680 is 86449131.

131944680 is a `hidden beast` number, since 1 + 3 + 194 + 468 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 234079 + ... + 234641.

It is an arithmetic number, because the mean of its divisors is an integer number (2030400).

Almost surely, 2131944680 is an apocalyptic number.

131944680 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 131944680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259891200).

131944680 is an abundant number, since it is smaller than the sum of its proper divisors (387837720).

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

131944680 is a wasteful number, since it uses less digits than its factorization.

131944680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 621 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 131944680 is about 11486.7175468016. The cubic root of 131944680 is about 509.0931983122.

The spelling of 131944680 in words is "one hundred thirty-one million, nine hundred forty-four thousand, six hundred eighty".