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130018560 = 283572691
BaseRepresentation
bin1111011111111…
…10110100000000
3100001122121221020
413233332310000
5231241043220
620522425440
73136065600
oct757766400
9301577836
10130018560
1167434961
1237662280
1320c24079
14133a6c00
15b634040
hex7bfed00

130018560 has 216 divisors, whose sum is σ = 483741216. Its totient is φ = 29675520.

The previous prime is 130018549. The next prime is 130018561. The reversal of 130018560 is 65810031.

130018560 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 130018560.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130018561) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 187815 + ... + 188505.

Almost surely, 2130018560 is an apocalyptic number.

130018560 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 130018560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241870608).

130018560 is an abundant number, since it is smaller than the sum of its proper divisors (353722656).

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

130018560 is an equidigital number, since it uses as much as digits as its factorization.

130018560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 729 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 130018560 is about 11402.5681317850. The cubic root of 130018560 is about 506.6038087610.

Adding to 130018560 its reverse (65810031), we get a palindrome (195828591).

The spelling of 130018560 in words is "one hundred thirty million, eighteen thousand, five hundred sixty".