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131508140 = 2257983233
BaseRepresentation
bin1111101011010…
…10011110101100
3100011110022020212
413311222132230
5232131230030
621014401552
73154541441
oct765523654
9304408225
10131508140
1168262015
12380602b8
132132608a
14136739c8
15b82a595
hex7d6a7ac

131508140 has 24 divisors (see below), whose sum is σ = 279666240. Its totient is φ = 51936768.

The previous prime is 131508133. The next prime is 131508163. The reversal of 131508140 is 41805131.

131508140 = T1785 + T1786 + ... + T1863.

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, 40037 + ... + 43196.

It is an arithmetic number, because the mean of its divisors is an integer number (11652760).

Almost surely, 2131508140 is an apocalyptic number.

131508140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131508140 is an abundant number, since it is smaller than the sum of its proper divisors (148158100).

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

131508140 is a wasteful number, since it uses less digits than its factorization.

131508140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83321 (or 83319 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 23.

The square root of 131508140 is about 11467.6998565536. The cubic root of 131508140 is about 508.5311317198.

The spelling of 131508140 in words is "one hundred thirty-one million, five hundred eight thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 79 158 316 395 790 1580 83233 166466 332932 416165 832330 1664660 6575407 13150814 26301628 32877035 65754070 131508140