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131518040 = 2354098039
BaseRepresentation
bin1111101011011…
…00111001011000
3100011110210211112
413311230321120
5232132034130
621014515452
73154612343
oct765547130
9304423745
10131518040
11682694a5
1238065b88
132132a734
141367745a
15b82d495
hex7d6ce58

131518040 has 32 divisors (see below), whose sum is σ = 296676000. Its totient is φ = 52472064.

The previous prime is 131518033. The next prime is 131518063. The reversal of 131518040 is 40815131.

It is a junction number, because it is equal to n+sod(n) for n = 131517997 and 131518015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12341 + ... + 20379.

It is an arithmetic number, because the mean of its divisors is an integer number (9271125).

Almost surely, 2131518040 is an apocalyptic number.

131518040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131518040 is an abundant number, since it is smaller than the sum of its proper divisors (165157960).

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

131518040 is a wasteful number, since it uses less digits than its factorization.

131518040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8459 (or 8455 counting only the distinct ones).

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

The square root of 131518040 is about 11468.1314955838. The cubic root of 131518040 is about 508.5438922274.

The spelling of 131518040 in words is "one hundred thirty-one million, five hundred eighteen thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 409 818 1636 2045 3272 4090 8039 8180 16078 16360 32156 40195 64312 80390 160780 321560 3287951 6575902 13151804 16439755 26303608 32879510 65759020 131518040