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131664260 = 22571373991
BaseRepresentation
bin1111101100100…
…00100110000100
3100011202020102002
413312100212010
5232201224020
621022004432
73156061550
oct766204604
9304666362
10131664260
1168359342
1238116718
132137c160
14136b4860
15b85b975
hex7d90984

131664260 has 96 divisors (see below), whose sum is σ = 345311232. Its totient is φ = 41057280.

The previous prime is 131664257. The next prime is 131664277. The reversal of 131664260 is 62466131.

It is a happy number.

It is a super-2 number, since 2×1316642602 = 34670954722695200, which contains 22 as substring.

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, 132365 + ... + 133355.

It is an arithmetic number, because the mean of its divisors is an integer number (3596992).

Almost surely, 2131664260 is an apocalyptic number.

131664260 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 131664260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172655616).

131664260 is an abundant number, since it is smaller than the sum of its proper divisors (213646972).

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

131664260 is a wasteful number, since it uses less digits than its factorization.

131664260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1093 (or 1091 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 29.

The square root of 131664260 is about 11474.5047823425. The cubic root of 131664260 is about 508.7322865286.

The spelling of 131664260 in words is "one hundred thirty-one million, six hundred sixty-four thousand, two hundred sixty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 73 91 130 140 146 182 260 292 364 365 455 511 730 910 949 991 1022 1460 1820 1898 1982 2044 2555 3796 3964 4745 4955 5110 6643 6937 9490 9910 10220 12883 13286 13874 18980 19820 25766 26572 27748 33215 34685 51532 64415 66430 69370 72343 90181 128830 132860 138740 144686 180362 257660 289372 360724 361715 450905 506401 723430 901810 940459 1012802 1446860 1803620 1880918 2025604 2532005 3761836 4702295 5064010 6583213 9404590 10128020 13166426 18809180 26332852 32916065 65832130 131664260