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131430340 = 2257578681
BaseRepresentation
bin1111101010101…
…11011111000100
3100011022100112101
413311113133010
5232121232330
621013001444
73154065556
oct765273704
9304270471
10131430340
1168209618
1238023284
13212c9842
14136534d6
15b8124ca
hex7d577c4

131430340 has 24 divisors (see below), whose sum is σ = 276400152. Its totient is φ = 52496640.

The previous prime is 131430319. The next prime is 131430371. The reversal of 131430340 is 43034131.

It can be written as a sum of positive squares in 4 ways, for example, as 36796356 + 94633984 = 6066^2 + 9728^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10800 + ... + 19480.

It is an arithmetic number, because the mean of its divisors is an integer number (11516673).

Almost surely, 2131430340 is an apocalyptic number.

131430340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131430340 is an abundant number, since it is smaller than the sum of its proper divisors (144969812).

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

131430340 is a wasteful number, since it uses less digits than its factorization.

131430340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9447 (or 9445 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 131430340 is about 11464.3072184934. The cubic root of 131430340 is about 508.4308298765.

Adding to 131430340 its reverse (43034131), we get a palindrome (174464471).

The spelling of 131430340 in words is "one hundred thirty-one million, four hundred thirty thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 757 1514 3028 3785 7570 8681 15140 17362 34724 43405 86810 173620 6571517 13143034 26286068 32857585 65715170 131430340