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130132320 = 2535271109
BaseRepresentation
bin1111100000110…
…10100101100000
3100001212101222120
413300122211200
5231303213240
620525104240
73140051343
oct760324540
9301771876
10130132320
116750237a
12376b8080
1320c63a96
14133d645a
15b657ad0
hex7c1a960

130132320 has 48 divisors (see below), whose sum is σ = 409918320. Its totient is φ = 34701824.

The previous prime is 130132313. The next prime is 130132333. The reversal of 130132320 is 23231031.

130132320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 130132320.

It is a congruent number.

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, 135075 + ... + 136034.

It is an arithmetic number, because the mean of its divisors is an integer number (8539965).

Almost surely, 2130132320 is an apocalyptic number.

130132320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130132320 is an abundant number, since it is smaller than the sum of its proper divisors (279786000).

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

130132320 is a wasteful number, since it uses less digits than its factorization.

130132320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271127 (or 271119 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 130132320 is about 11407.5553910555. Note that the first 3 decimals coincide. The cubic root of 130132320 is about 506.7515170299.

Adding to 130132320 its reverse (23231031), we get a palindrome (153363351).

The spelling of 130132320 in words is "one hundred thirty million, one hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 271109 542218 813327 1084436 1355545 1626654 2168872 2711090 3253308 4066635 4337744 5422180 6506616 8133270 8675488 10844360 13013232 16266540 21688720 26026464 32533080 43377440 65066160 130132320