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131274660 = 223511198901
BaseRepresentation
bin1111101001100…
…01011110100100
3100011000102222110
413310301132210
5232101242120
621005401020
73152546646
oct764613644
9304012873
10131274660
1168112660
1237b69170
1321273a1a
1413612896
15b7d12e0
hex7d317a4

131274660 has 48 divisors (see below), whose sum is σ = 400986432. Its totient is φ = 31824000.

The previous prime is 131274653. The next prime is 131274679. The reversal of 131274660 is 66472131.

131274660 = T4880 + T4881 + ... + T4890.

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

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, 98791 + ... + 100110.

It is an arithmetic number, because the mean of its divisors is an integer number (8353884).

Almost surely, 2131274660 is an apocalyptic number.

131274660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131274660 is an abundant number, since it is smaller than the sum of its proper divisors (269711772).

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

131274660 is a wasteful number, since it uses less digits than its factorization.

131274660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198924 (or 198922 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 131274660 is about 11457.5154374760. The cubic root of 131274660 is about 508.2300041402.

The spelling of 131274660 in words is "one hundred thirty-one million, two hundred seventy-four thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 198901 397802 596703 795604 994505 1193406 1989010 2187911 2386812 2983515 3978020 4375822 5967030 6563733 8751644 10939555 11934060 13127466 21879110 26254932 32818665 43758220 65637330 131274660