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131922 = 2337349
BaseRepresentation
bin100000001101010010
320200222000
4200031102
513210142
62454430
71056420
oct401522
9220860
10131922
119012a
1264416
134807b
1436110
152914c
hex20352

131922 has 32 divisors (see below), whose sum is σ = 336000. Its totient is φ = 37584.

The previous prime is 131909. The next prime is 131927. The reversal of 131922 is 229131.

It is a happy number.

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 a junction number, because it is equal to n+sod(n) for n = 131895 and 131904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131927) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 204 + ... + 552.

It is an arithmetic number, because the mean of its divisors is an integer number (10500).

2131922 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131922, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168000).

131922 is an abundant number, since it is smaller than the sum of its proper divisors (204078).

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

131922 is a wasteful number, since it uses less digits than its factorization.

131922 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 361 counting only the distinct ones).

The product of its digits is 108, while the sum is 18.

The square root of 131922 is about 363.2106826623. The cubic root of 131922 is about 50.9064027260.

The spelling of 131922 in words is "one hundred thirty-one thousand, nine hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 349 378 698 1047 2094 2443 3141 4886 6282 7329 9423 14658 18846 21987 43974 65961 131922