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131682 = 23171291
BaseRepresentation
bin100000001001100010
320200122010
4200021202
513203212
62453350
71055625
oct401142
9220563
10131682
118aa31
1264256
1347c25
1435dbc
152903c
hex20262

131682 has 16 divisors (see below), whose sum is σ = 279072. Its totient is φ = 41280.

The previous prime is 131671. The next prime is 131687. The reversal of 131682 is 286131.

It is not an unprimeable number, because it can be changed into a prime (131687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 544 + ... + 747.

It is an arithmetic number, because the mean of its divisors is an integer number (17442).

2131682 is an apocalyptic number.

131682 is an abundant number, since it is smaller than the sum of its proper divisors (147390).

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

131682 is a wasteful number, since it uses less digits than its factorization.

131682 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1313.

The product of its digits is 288, while the sum is 21.

The square root of 131682 is about 362.8801455026. The cubic root of 131682 is about 50.8755133795.

Subtracting 131682 from its reverse (286131), we obtain a square (154449 = 3932).

The spelling of 131682 in words is "one hundred thirty-one thousand, six hundred eighty-two".

Divisors: 1 2 3 6 17 34 51 102 1291 2582 3873 7746 21947 43894 65841 131682