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130981920 = 2535272879
BaseRepresentation
bin1111100111010…
…10000000100000
3100010110120102020
413303222000200
5232012410140
620555221440
73150220326
oct763520040
9303416366
10130981920
1167a32723
1237a47880
13211a06c4
1413577d16
15b7746d0
hex7cea020

130981920 has 48 divisors (see below), whose sum is σ = 412594560. Its totient is φ = 34928384.

The previous prime is 130981919. The next prime is 130981931. The reversal of 130981920 is 29189031.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 135960 + ... + 136919.

It is an arithmetic number, because the mean of its divisors is an integer number (8595720).

Almost surely, 2130981920 is an apocalyptic number.

130981920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130981920 is an abundant number, since it is smaller than the sum of its proper divisors (281612640).

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

130981920 is a wasteful number, since it uses less digits than its factorization.

130981920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272897 (or 272889 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 33.

The square root of 130981920 is about 11444.7332865384. The cubic root of 130981920 is about 507.8519418895.

The spelling of 130981920 in words is "one hundred thirty million, nine hundred eighty-one thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 272879 545758 818637 1091516 1364395 1637274 2183032 2728790 3274548 4093185 4366064 5457580 6549096 8186370 8732128 10915160 13098192 16372740 21830320 26196384 32745480 43660640 65490960 130981920