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131406340 = 22513505409
BaseRepresentation
bin1111101010100…
…01101000000100
3100011021010121111
413311101220010
5232120000330
621012254404
73153635602
oct765215004
9304233544
10131406340
11681a258a
1238011404
13212bb940
1413648872
15b80a32a
hex7d51a04

131406340 has 24 divisors (see below), whose sum is σ = 297181080. Its totient is φ = 48519168.

The previous prime is 131406287. The next prime is 131406349. The reversal of 131406340 is 43604131.

It can be written as a sum of positive squares in 4 ways, for example, as 13075456 + 118330884 = 3616^2 + 10878^2 .

It is not an unprimeable number, because it can be changed into a prime (131406349) 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, 252445 + ... + 252964.

It is an arithmetic number, because the mean of its divisors is an integer number (12382545).

Almost surely, 2131406340 is an apocalyptic number.

131406340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131406340 is an abundant number, since it is smaller than the sum of its proper divisors (165774740).

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

131406340 is a wasteful number, since it uses less digits than its factorization.

131406340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505431 (or 505429 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 131406340 is about 11463.2604436958. The cubic root of 131406340 is about 508.3998804454.

The spelling of 131406340 in words is "one hundred thirty-one million, four hundred six thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 505409 1010818 2021636 2527045 5054090 6570317 10108180 13140634 26281268 32851585 65703170 131406340