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130191360 = 2123513163
BaseRepresentation
bin1111100001010…
…01000000000000
3100001222101222020
413300221000000
5231312110420
620530241440
73140415435
oct760510000
9301871866
10130191360
1167542772
1237726280
1320c84910
141340db8c
15b66a340
hex7c29000

130191360 has 208 divisors, whose sum is σ = 451356864. Its totient is φ = 31850496.

The previous prime is 130191349. The next prime is 130191361. The reversal of 130191360 is 63191031.

It is a tau number, because it is divible by the number of its divisors (208).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

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 130191360.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130191361) 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, 798639 + ... + 798801.

Almost surely, 2130191360 is an apocalyptic number.

130191360 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 130191360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225678432).

130191360 is an abundant number, since it is smaller than the sum of its proper divisors (321165504).

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

130191360 is a wasteful number, since it uses less digits than its factorization.

130191360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 24.

The square root of 130191360 is about 11410.1428562486. The cubic root of 130191360 is about 506.8281418225.

The spelling of 130191360 in words is "one hundred thirty million, one hundred ninety-one thousand, three hundred sixty".