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131560 = 235111323
BaseRepresentation
bin100000000111101000
320200110121
4200013220
513202220
62453024
71055362
oct400750
9220417
10131560
118a930
1264174
1347b60
1435d32
1528eaa
hex201e8

131560 has 64 divisors (see below), whose sum is σ = 362880. Its totient is φ = 42240.

The previous prime is 131543. The next prime is 131561. The reversal of 131560 is 65131.

It is not an unprimeable number, because it can be changed into a prime (131561) by changing a digit.

131560 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5709 + ... + 5731.

It is an arithmetic number, because the mean of its divisors is an integer number (5670).

2131560 is an apocalyptic number.

131560 is a gapful number since it is divisible by the number (10) 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 131560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181440).

131560 is an abundant number, since it is smaller than the sum of its proper divisors (231320).

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

131560 is a wasteful number, since it uses less digits than its factorization.

131560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 16.

The square root of 131560 is about 362.7120069697. The cubic root of 131560 is about 50.8597969049.

Adding to 131560 its reverse (65131), we get a palindrome (196691).

The spelling of 131560 in words is "one hundred thirty-one thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 11 13 20 22 23 26 40 44 46 52 55 65 88 92 104 110 115 130 143 184 220 230 253 260 286 299 440 460 506 520 572 598 715 920 1012 1144 1196 1265 1430 1495 2024 2392 2530 2860 2990 3289 5060 5720 5980 6578 10120 11960 13156 16445 26312 32890 65780 131560