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130714560 = 26355412
BaseRepresentation
bin1111100101010…
…00101111000000
3100002221222200000
413302220233000
5231430331220
620545400000
73145025004
oct762505700
9302858600
10130714560
116786a869
1237939000
1321108ac2
1413508704
15b720390
hex7ca8bc0

130714560 has 252 divisors, whose sum is σ = 477905064. Its totient is φ = 34007040.

The previous prime is 130714537. The next prime is 130714561. The reversal of 130714560 is 65417031.

130714560 is a `hidden beast` number, since 1 + 30 + 71 + 4 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130714561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3188140 + ... + 3188180.

Almost surely, 2130714560 is an apocalyptic number.

130714560 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 130714560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238952532).

130714560 is an abundant number, since it is smaller than the sum of its proper divisors (347190504).

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

130714560 is an frugal number, since it uses more digits than its factorization.

130714560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 130714560 is about 11433.0468380043. The cubic root of 130714560 is about 507.5061644361.

The spelling of 130714560 in words is "one hundred thirty million, seven hundred fourteen thousand, five hundred sixty".