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131426120 = 2357469379
BaseRepresentation
bin1111101010101…
…10011101001000
3100011022010202002
413311112131020
5232121113440
621012530132
73154050350
oct765263510
9304263662
10131426120
1168206431
1238020948
13212c7947
1413651b60
15b811115
hex7d56748

131426120 has 32 divisors (see below), whose sum is σ = 337953600. Its totient is φ = 45060288.

The previous prime is 131426111. The next prime is 131426129. The reversal of 131426120 is 21624131.

It is an interprime number because it is at equal distance from previous prime (131426111) and next prime (131426129).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 131426092 and 131426101.

It is not an unprimeable number, because it can be changed into a prime (131426129) 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, 234410 + ... + 234969.

It is an arithmetic number, because the mean of its divisors is an integer number (10561050).

Almost surely, 2131426120 is an apocalyptic number.

131426120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131426120 is an abundant number, since it is smaller than the sum of its proper divisors (206527480).

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

131426120 is a wasteful number, since it uses less digits than its factorization.

131426120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469397 (or 469393 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 131426120 is about 11464.1231675170. The cubic root of 131426120 is about 508.4253882078.

The spelling of 131426120 in words is "one hundred thirty-one million, four hundred twenty-six thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 469379 938758 1877516 2346895 3285653 3755032 4693790 6571306 9387580 13142612 16428265 18775160 26285224 32856530 65713060 131426120