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131928 = 23323239
BaseRepresentation
bin100000001101011000
320200222020
4200031120
513210203
62454440
71056426
oct401530
9220866
10131928
1190135
1264420
1348084
1436116
1529153
hex20358

131928 has 32 divisors (see below), whose sum is σ = 345600. Its totient is φ = 41888.

The previous prime is 131927. The next prime is 131933. The reversal of 131928 is 829131.

131928 is nontrivially palindromic in base 13.

It is a hoax number, since the sum of its digits (24) 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 (24).

It is an Ulam number.

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 131898 and 131907.

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 7 ways as a sum of consecutive naturals, for example, 433 + ... + 671.

It is an arithmetic number, because the mean of its divisors is an integer number (10800).

2131928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172800).

131928 is an abundant number, since it is smaller than the sum of its proper divisors (213672).

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

131928 is a wasteful number, since it uses less digits than its factorization.

131928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 267 counting only the distinct ones).

The product of its digits is 432, while the sum is 24.

The square root of 131928 is about 363.2189422373. The cubic root of 131928 is about 50.9071744795.

The spelling of 131928 in words is "one hundred thirty-one thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 184 239 276 478 552 717 956 1434 1912 2868 5497 5736 10994 16491 21988 32982 43976 65964 131928