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130392 = 23321811
BaseRepresentation
bin11111110101011000
320121212100
4133311120
513133032
62443400
71052103
oct376530
9217770
10130392
1189a69
1263560
1347472
143573a
152897c
hex1fd58

130392 has 24 divisors (see below), whose sum is σ = 353340. Its totient is φ = 43440.

The previous prime is 130379. The next prime is 130399. The reversal of 130392 is 293031.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130399) by changing a digit.

130392 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 5 ways as a sum of consecutive naturals, for example, 834 + ... + 977.

2130392 is an apocalyptic number.

130392 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

130392 is an abundant number, since it is smaller than the sum of its proper divisors (222948).

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

130392 is a wasteful number, since it uses less digits than its factorization.

130392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1823 (or 1816 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 130392 is about 361.0983245599. The cubic root of 130392 is about 50.7088368524.

It can be divided in two parts, 13039 and 2, that added together give a triangular number (13041 = T161).

The spelling of 130392 in words is "one hundred thirty thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1811 3622 5433 7244 10866 14488 16299 21732 32598 43464 65196 130392