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131388 = 22310949
BaseRepresentation
bin100000000100111100
320200020020
4200010330
513201023
62452140
71055025
oct400474
9220206
10131388
118a794
1264050
1347a5a
1435c4c
1528de3
hex2013c

131388 has 12 divisors (see below), whose sum is σ = 306600. Its totient is φ = 43792.

The previous prime is 131381. The next prime is 131413. The reversal of 131388 is 883131.

It is a tau number, because it is divible by the number of its divisors (12).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 131388.

It is not an unprimeable number, because it can be changed into a prime (131381) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5463 + ... + 5486.

It is an arithmetic number, because the mean of its divisors is an integer number (25550).

2131388 is an apocalyptic number.

It is an amenable number.

131388 is an abundant number, since it is smaller than the sum of its proper divisors (175212).

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

131388 is a wasteful number, since it uses less digits than its factorization.

131388 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10956 (or 10954 counting only the distinct ones).

The product of its digits is 576, while the sum is 24.

The square root of 131388 is about 362.4748267121. The cubic root of 131388 is about 50.8376227382.

The spelling of 131388 in words is "one hundred thirty-one thousand, three hundred eighty-eight".

Divisors: 1 2 3 4 6 12 10949 21898 32847 43796 65694 131388