Search a number
-
+
131256356 = 227113159233
BaseRepresentation
bin1111101001011…
…01000000100100
3100010222111212112
413310231000210
5232100200411
621005140152
73152442410
oct764550044
9303874775
10131256356
11680aa930
1237b5a658
13212685aa
1413609d40
15b7cab8b
hex7d2d024

131256356 has 96 divisors (see below), whose sum is σ = 301916160. Its totient is φ = 48441600.

The previous prime is 131256347. The next prime is 131256361. The reversal of 131256356 is 653652131.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 563216 + ... + 563448.

It is an arithmetic number, because the mean of its divisors is an integer number (3144960).

Almost surely, 2131256356 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 131256356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150958080).

131256356 is an abundant number, since it is smaller than the sum of its proper divisors (170659804).

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

131256356 is a wasteful number, since it uses less digits than its factorization.

131256356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 343 counting only the distinct ones).

The product of its digits is 16200, while the sum is 32.

The square root of 131256356 is about 11456.7166326134. The cubic root of 131256356 is about 508.2063817229.

The spelling of 131256356 in words is "one hundred thirty-one million, two hundred fifty-six thousand, three hundred fifty-six".

Divisors: 1 2 4 7 11 14 22 28 31 44 59 62 77 118 124 154 217 233 236 308 341 413 434 466 649 682 826 868 932 1298 1364 1631 1652 1829 2387 2563 2596 3262 3658 4543 4774 5126 6524 7223 7316 9086 9548 10252 12803 13747 14446 17941 18172 20119 25606 27494 28892 35882 40238 50561 51212 54988 71764 79453 80476 96229 101122 140833 151217 158906 192458 202244 281666 302434 317812 384916 426157 556171 563332 604868 852314 1058519 1112342 1704628 2117038 2224684 2983099 4234076 4687727 5966198 9375454 11932396 18750908 32814089 65628178 131256356