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131832 = 23321831
BaseRepresentation
bin100000001011111000
320200211200
4200023320
513204312
62454200
71056231
oct401370
9220750
10131832
1190058
1264360
134800c
1436088
15290dc
hex202f8

131832 has 24 divisors (see below), whose sum is σ = 357240. Its totient is φ = 43920.

The previous prime is 131797. The next prime is 131837. The reversal of 131832 is 238131.

It is a tau number, because it is divible by the number of its divisors (24).

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

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

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

It is a d-powerful number, because it can be written as 1 + 3 + 83 + 1 + 35 + 217 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131837) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 844 + ... + 987.

It is an arithmetic number, because the mean of its divisors is an integer number (14885).

2131832 is an apocalyptic number.

131832 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131832 is an abundant number, since it is smaller than the sum of its proper divisors (225408).

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

131832 is a wasteful number, since it uses less digits than its factorization.

131832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1843 (or 1836 counting only the distinct ones).

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

The square root of 131832 is about 363.0867664898. The cubic root of 131832 is about 50.8948236148.

Adding to 131832 its reverse (238131), we get a palindrome (369963).

The spelling of 131832 in words is "one hundred thirty-one thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1831 3662 5493 7324 10986 14648 16479 21972 32958 43944 65916 131832