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130584760 = 23526312413
BaseRepresentation
bin1111100100010…
…01000010111000
3100002201101121121
413302021002320
5231412203020
620542515024
73143644405
oct762110270
9302641547
10130584760
1167791299
1237895a74
13210919b7
14134b32ac
15b6e6baa
hex7c890b8

130584760 has 32 divisors (see below), whose sum is σ = 294956640. Its totient is φ = 52031104.

The previous prime is 130584757. The next prime is 130584761. The reversal of 130584760 is 67485031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130584761) 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, 4314 + ... + 16726.

It is an arithmetic number, because the mean of its divisors is an integer number (9217395).

Almost surely, 2130584760 is an apocalyptic number.

130584760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130584760 is an abundant number, since it is smaller than the sum of its proper divisors (164371880).

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

130584760 is a wasteful number, since it uses less digits than its factorization.

130584760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12687 (or 12683 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 34.

The square root of 130584760 is about 11427.3689010200. The cubic root of 130584760 is about 507.3381236898.

The spelling of 130584760 in words is "one hundred thirty million, five hundred eighty-four thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 263 526 1052 1315 2104 2630 5260 10520 12413 24826 49652 62065 99304 124130 248260 496520 3264619 6529238 13058476 16323095 26116952 32646190 65292380 130584760