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130075140 = 2235131967131
BaseRepresentation
bin1111100000011…
…00101000000100
3100001202111112210
413300030220010
5231244401030
620523543420
73136422546
oct760145004
9301674483
10130075140
1167473418
123768ab70
1320c43a50
14133bd696
15b645bb0
hex7c0ca04

130075140 has 192 divisors, whose sum is σ = 422231040. Its totient is φ = 29652480.

The previous prime is 130075111. The next prime is 130075147. The reversal of 130075140 is 41570031.

It is not an unprimeable number, because it can be changed into a prime (130075147) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 992875 + ... + 993005.

It is an arithmetic number, because the mean of its divisors is an integer number (2199120).

Almost surely, 2130075140 is an apocalyptic number.

130075140 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 130075140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211115520).

130075140 is an abundant number, since it is smaller than the sum of its proper divisors (292155900).

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

130075140 is a wasteful number, since it uses less digits than its factorization.

130075140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 130075140 is about 11405.0488819645. The cubic root of 130075140 is about 506.6772841342.

The spelling of 130075140 in words is "one hundred thirty million, seventy-five thousand, one hundred forty".