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131886 = 23217431
BaseRepresentation
bin100000001100101110
320200220200
4200030232
513210021
62454330
71056336
oct401456
9220820
10131886
11900a7
12643a6
1348051
14360c6
1529126
hex2032e

131886 has 24 divisors (see below), whose sum is σ = 303264. Its totient is φ = 41280.

The previous prime is 131861. The next prime is 131891. The reversal of 131886 is 688131.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 91 + ... + 521.

It is an arithmetic number, because the mean of its divisors is an integer number (12636).

2131886 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131886, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151632).

131886 is an abundant number, since it is smaller than the sum of its proper divisors (171378).

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

131886 is a wasteful number, since it uses less digits than its factorization.

131886 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 453 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

The square root of 131886 is about 363.1611212671. The cubic root of 131886 is about 50.9017717137.

The spelling of 131886 in words is "one hundred thirty-one thousand, eight hundred eighty-six".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 431 862 1293 2586 3879 7327 7758 14654 21981 43962 65943 131886