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130527360 = 27325173143
BaseRepresentation
bin1111100011110…
…11000010000000
3100002121110212200
413301323002000
5231403333420
620541353200
73143315145
oct761730200
9302543780
10130527360
1167752157
1237868800
1321071832
141349a3cc
15b6d4b90
hex7c7b080

130527360 has 384 divisors, whose sum is σ = 504092160. Its totient is φ = 30965760.

The previous prime is 130527307. The next prime is 130527361. The reversal of 130527360 is 63725031.

It is a happy number.

130527360 is a `hidden beast` number, since 130 + 527 + 3 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (130527361) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3035499 + ... + 3035541.

It is an arithmetic number, because the mean of its divisors is an integer number (1312740).

Almost surely, 2130527360 is an apocalyptic number.

130527360 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 130527360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252046080).

130527360 is an abundant number, since it is smaller than the sum of its proper divisors (373564800).

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

130527360 is a wasteful number, since it uses less digits than its factorization.

130527360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 130527360 is about 11424.8571107038. The cubic root of 130527360 is about 507.2637774026.

The spelling of 130527360 in words is "one hundred thirty million, five hundred twenty-seven thousand, three hundred sixty".