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130368960 = 2633579191
BaseRepresentation
bin1111100010101…
…00010111000000
3100002022102121000
413301110113000
5231333301320
620534132000
73142055301
oct761242700
9302272530
10130368960
1167654147
12377b1000
13210176c7
14134587a8
15b6a2c90
hex7c545c0

130368960 has 224 divisors, whose sum is σ = 468172800. Its totient is φ = 34145280.

The previous prime is 130368947. The next prime is 130368977. The reversal of 130368960 is 69863031.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 682465 + ... + 682655.

Almost surely, 2130368960 is an apocalyptic number.

130368960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130368960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234086400).

130368960 is an abundant number, since it is smaller than the sum of its proper divisors (337803840).

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

130368960 is a wasteful number, since it uses less digits than its factorization.

130368960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 130368960 is about 11417.9227532857. The cubic root of 130368960 is about 507.0584996047.

It can be divided in two parts, 130368 and 960, that added together give a triangular number (131328 = T512).

The spelling of 130368960 in words is "one hundred thirty million, three hundred sixty-eight thousand, nine hundred sixty".