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530727120 = 243357113191
BaseRepresentation
bin11111101000100…
…100000011010000
31100222122201202000
4133220210003100
52041331231440
6124355154000
716103051250
oct3750440320
91328581660
10530727120
11252644160
121298a5900
1385c53021
14506b3960
15318d7730
hex1fa240d0

530727120 has 320 divisors, whose sum is σ = 2279854080. Its totient is φ = 110246400.

The previous prime is 530727089. The next prime is 530727157. The reversal of 530727120 is 21727035.

530727120 is a `hidden beast` number, since 530 + 7 + 2 + 7 + 120 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 164725 + ... + 167915.

It is an arithmetic number, because the mean of its divisors is an integer number (7124544).

Almost surely, 2530727120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 530727120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1139927040).

530727120 is an abundant number, since it is smaller than the sum of its proper divisors (1749126960).

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

530727120 is a wasteful number, since it uses less digits than its factorization.

530727120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3231 (or 3219 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 530727120 is about 23037.5154910420. The cubic root of 530727120 is about 809.6371488654.

The spelling of 530727120 in words is "five hundred thirty million, seven hundred twenty-seven thousand, one hundred twenty".