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131395260 = 223519115259
BaseRepresentation
bin1111101010011…
…10111010111100
3100011020120102010
413311032322330
5232114122020
621012131220
73153561363
oct765167274
9304216363
10131395260
1168195227
1238006b10
13212b6899
14136447da
15b806de0
hex7d4eebc

131395260 has 48 divisors (see below), whose sum is σ = 387273600. Its totient is φ = 33194304.

The previous prime is 131395223. The next prime is 131395273. The reversal of 131395260 is 62593131.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56490 + ... + 58769.

It is an arithmetic number, because the mean of its divisors is an integer number (8068200).

Almost surely, 2131395260 is an apocalyptic number.

131395260 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131395260 is an abundant number, since it is smaller than the sum of its proper divisors (255878340).

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

131395260 is a wasteful number, since it uses less digits than its factorization.

131395260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115290 (or 115288 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 30.

The square root of 131395260 is about 11462.7771504117. Note that the first 3 decimals coincide. The cubic root of 131395260 is about 508.3855908533.

The spelling of 131395260 in words is "one hundred thirty-one million, three hundred ninety-five thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 380 570 1140 115259 230518 345777 461036 576295 691554 1152590 1383108 1728885 2189921 2305180 3457770 4379842 6569763 6915540 8759684 10949605 13139526 21899210 26279052 32848815 43798420 65697630 131395260