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130509132 = 223133126987
BaseRepresentation
bin1111100011101…
…10100101001100
3100002120112212120
413301312211030
5231402243012
620541132540
73143211045
oct761664514
9302515776
10130509132
116773a496
123785a150
1321066450
14134938cc
15b6ce58c
hex7c7694c

130509132 has 48 divisors (see below), whose sum is σ = 338537472. Its totient is φ = 38859840.

The previous prime is 130509131. The next prime is 130509133. The reversal of 130509132 is 231905031.

It is a happy number.

130509132 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (130509131) and next prime (130509133).

It is not an unprimeable number, because it can be changed into a prime (130509131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8658 + ... + 18329.

It is an arithmetic number, because the mean of its divisors is an integer number (7052864).

Almost surely, 2130509132 is an apocalyptic number.

130509132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

130509132 is an abundant number, since it is smaller than the sum of its proper divisors (208028340).

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

130509132 is a wasteful number, since it uses less digits than its factorization.

130509132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27038 (or 27036 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 24.

The square root of 130509132 is about 11424.0593485853. The cubic root of 130509132 is about 507.2401633635.

The spelling of 130509132 in words is "one hundred thirty million, five hundred nine thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 26 31 39 52 62 78 93 124 156 186 372 403 806 1209 1612 2418 4836 26987 53974 80961 107948 161922 323844 350831 701662 836597 1052493 1403324 1673194 2104986 2509791 3346388 4209972 5019582 10039164 10875761 21751522 32627283 43503044 65254566 130509132