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130592 = 2571153
BaseRepresentation
bin11111111000100000
320122010202
4133320200
513134332
62444332
71052510
oct377040
9218122
10130592
118a130
12636a8
1347597
1435840
1528a62
hex1fe20

130592 has 48 divisors (see below), whose sum is σ = 326592. Its totient is φ = 49920.

The previous prime is 130589. The next prime is 130619. The reversal of 130592 is 295031.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 130592.

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, 2438 + ... + 2490.

It is an arithmetic number, because the mean of its divisors is an integer number (6804).

2130592 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 130592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163296).

130592 is an abundant number, since it is smaller than the sum of its proper divisors (196000).

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

130592 is a wasteful number, since it uses less digits than its factorization.

130592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 20.

The square root of 130592 is about 361.3751513317. The cubic root of 130592 is about 50.7347499618.

The spelling of 130592 in words is "one hundred thirty thousand, five hundred ninety-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 53 56 77 88 106 112 154 176 212 224 308 352 371 424 583 616 742 848 1166 1232 1484 1696 2332 2464 2968 4081 4664 5936 8162 9328 11872 16324 18656 32648 65296 130592