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131856 = 2434167
BaseRepresentation
bin100000001100010000
320200212120
4200030100
513204411
62454240
71056264
oct401420
9220776
10131856
119007a
1264380
134802a
14360a4
1529106
hex20310

131856 has 40 divisors (see below), whose sum is σ = 354144. Its totient is φ = 42240.

The previous prime is 131849. The next prime is 131861. The reversal of 131856 is 658131.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a d-powerful number, because it can be written as 1 + 38 + 83 + 1 + 57 + 66 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1935 + ... + 2001.

2131856 is an apocalyptic number.

131856 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177072).

131856 is an abundant number, since it is smaller than the sum of its proper divisors (222288).

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

131856 is a wasteful number, since it uses less digits than its factorization.

131856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 113 counting only the distinct ones).

The product of its digits is 720, while the sum is 24.

The square root of 131856 is about 363.1198149372. The cubic root of 131856 is about 50.8979118930.

Adding to 131856 its reverse (658131), we get a palindrome (789987).

The spelling of 131856 in words is "one hundred thirty-one thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 41 48 67 82 123 134 164 201 246 268 328 402 492 536 656 804 984 1072 1608 1968 2747 3216 5494 8241 10988 16482 21976 32964 43952 65928 131856