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130832 = 24131737
BaseRepresentation
bin11111111100010000
320122110122
4133330100
513141312
62445412
71053302
oct377420
9218418
10130832
118a329
1263868
1347720
1435972
1528b72
hex1ff10

130832 has 40 divisors (see below), whose sum is σ = 296856. Its totient is φ = 55296.

The previous prime is 130829. The next prime is 130841. The reversal of 130832 is 238031.

It can be written as a sum of positive squares in 4 ways, for example, as 38416 + 92416 = 196^2 + 304^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 130832.

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, 3518 + ... + 3554.

2130832 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 130832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148428).

130832 is an abundant number, since it is smaller than the sum of its proper divisors (166024).

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

130832 is a wasteful number, since it uses less digits than its factorization.

130832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 130832 is about 361.7070637961. The cubic root of 130832 is about 50.7658107936.

Adding to 130832 its reverse (238031), we get a palindrome (368863).

The spelling of 130832 in words is "one hundred thirty thousand, eight hundred thirty-two".

Divisors: 1 2 4 8 13 16 17 26 34 37 52 68 74 104 136 148 208 221 272 296 442 481 592 629 884 962 1258 1768 1924 2516 3536 3848 5032 7696 8177 10064 16354 32708 65416 130832