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131382 = 234811
BaseRepresentation
bin100000000100110110
320200020000
4200010312
513201012
62452130
71055016
oct400466
9220200
10131382
118a789
1264046
1347a54
1435c46
1528ddc
hex20136

131382 has 20 divisors (see below), whose sum is σ = 294756. Its totient is φ = 43740.

The previous prime is 131381. The next prime is 131413. The reversal of 131382 is 283131.

131382 is nontrivially palindromic in base 12.

It is a super-2 number, since 2×1313822 = 34522459848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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 9 ways as a sum of consecutive naturals, for example, 244 + ... + 567.

2131382 is an apocalyptic number.

131382 is an abundant number, since it is smaller than the sum of its proper divisors (163374).

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

131382 is an equidigital number, since it uses as much as digits as its factorization.

131382 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 825 (or 816 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 131382 is about 362.4665501808. The cubic root of 131382 is about 50.8368488715.

The spelling of 131382 in words is "one hundred thirty-one thousand, three hundred eighty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 811 1622 2433 4866 7299 14598 21897 43794 65691 131382