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130132384 = 25532772
BaseRepresentation
bin1111100000110…
…10100110100000
3100001212102001221
413300122212200
5231303214014
620525104424
73140051464
oct760324640
9301772057
10130132384
1167502428
12376b8114
1320c63b15
14133d64a4
15b657b24
hex7c1a9a0

130132384 has 36 divisors (see below), whose sum is σ = 261977814. Its totient is φ = 63608064.

The previous prime is 130132381. The next prime is 130132417. The reversal of 130132384 is 483231031.

It can be written as a sum of positive squares in 3 ways, for example, as 84272400 + 45859984 = 9180^2 + 6772^2 .

It is not an unprimeable number, because it can be changed into a prime (130132381) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 469654 + ... + 469930.

Almost surely, 2130132384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130132384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130988907).

130132384 is an abundant number, since it is smaller than the sum of its proper divisors (131845430).

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

130132384 is an frugal number, since it uses more digits than its factorization.

130132384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 617 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 130132384 is about 11407.5581962136. The cubic root of 130132384 is about 506.7516001045.

The spelling of 130132384 in words is "one hundred thirty million, one hundred thirty-two thousand, three hundred eighty-four".

Divisors: 1 2 4 8 16 32 53 106 212 277 424 554 848 1108 1696 2216 4432 8864 14681 29362 58724 76729 117448 153458 234896 306916 469792 613832 1227664 2455328 4066637 8133274 16266548 32533096 65066192 130132384