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131818240 = 285102983
BaseRepresentation
bin1111101101101…
…10001100000000
3100012001001122001
413312312030000
5232221140430
621025153344
73160302511
oct766661400
9305031561
10131818240
1168453aa4
123818b854
1321404278
1413714a08
15b88c3ca
hex7db6300

131818240 has 36 divisors (see below), whose sum is σ = 315748944. Its totient is φ = 52726784.

The previous prime is 131818237. The next prime is 131818243. The reversal of 131818240 is 42818131.

It is an interprime number because it is at equal distance from previous prime (131818237) and next prime (131818243).

It is a junction number, because it is equal to n+sod(n) for n = 131818199 and 131818208.

It is not an unprimeable number, because it can be changed into a prime (131818243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 50212 + ... + 52771.

It is an arithmetic number, because the mean of its divisors is an integer number (8770804).

Almost surely, 2131818240 is an apocalyptic number.

131818240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131818240 is an abundant number, since it is smaller than the sum of its proper divisors (183930704).

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

131818240 is an equidigital number, since it uses as much as digits as its factorization.

131818240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103004 (or 102990 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 28.

The square root of 131818240 is about 11481.2124795250. The cubic root of 131818240 is about 508.9305283297.

The spelling of 131818240 in words is "one hundred thirty-one million, eight hundred eighteen thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 640 1280 102983 205966 411932 514915 823864 1029830 1647728 2059660 3295456 4119320 6590912 8238640 13181824 16477280 26363648 32954560 65909120 131818240