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131640894 = 2327111737151
BaseRepresentation
bin1111101100010…
…10111000111110
3100011201001100200
413312022320332
5232200002034
621021304330
73155633460
oct766127076
9304631320
10131640894
1168342830
12381050a6
1321371628
14136aa130
15b854a99
hex7d8ae3e

131640894 has 192 divisors, whose sum is σ = 389256192. Its totient is φ = 31104000.

The previous prime is 131640893. The next prime is 131640917. The reversal of 131640894 is 498046131.

131640894 is a `hidden beast` number, since 1 + 3 + 1 + 640 + 8 + 9 + 4 = 666.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131640893) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 871719 + ... + 871869.

It is an arithmetic number, because the mean of its divisors is an integer number (2027376).

Almost surely, 2131640894 is an apocalyptic number.

131640894 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131640894, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194628096).

131640894 is an abundant number, since it is smaller than the sum of its proper divisors (257615298).

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

131640894 is a wasteful number, since it uses less digits than its factorization.

131640894 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 228 counting only the distinct ones).

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

The square root of 131640894 is about 11473.4865668636. The cubic root of 131640894 is about 508.7021904295.

The spelling of 131640894 in words is "one hundred thirty-one million, six hundred forty thousand, eight hundred ninety-four".