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131456260 = 22513505601
BaseRepresentation
bin1111101010111…
…01110100000100
3100011100200002101
413311131310010
5232123100020
621013321444
73154234255
oct765356404
9304320071
10131456260
1168227041
1238036284
1321308590
141365cb2c
15b81a00a
hex7d5dd04

131456260 has 24 divisors (see below), whose sum is σ = 297293976. Its totient is φ = 48537600.

The previous prime is 131456251. The next prime is 131456261. The reversal of 131456260 is 62654131.

It can be written as a sum of positive squares in 4 ways, for example, as 262144 + 131194116 = 512^2 + 11454^2 .

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (131456261) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 252541 + ... + 253060.

It is an arithmetic number, because the mean of its divisors is an integer number (12387249).

Almost surely, 2131456260 is an apocalyptic number.

131456260 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131456260 is an abundant number, since it is smaller than the sum of its proper divisors (165837716).

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

131456260 is a wasteful number, since it uses less digits than its factorization.

131456260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505623 (or 505621 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 131456260 is about 11465.4376279320. The cubic root of 131456260 is about 508.4642510304.

The spelling of 131456260 in words is "one hundred thirty-one million, four hundred fifty-six thousand, two hundred sixty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 505601 1011202 2022404 2528005 5056010 6572813 10112020 13145626 26291252 32864065 65728130 131456260