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560920320 = 28325232973
BaseRepresentation
bin100001011011101…
…111011100000000
31110002110201000200
4201123233130000
52122043422240
6131354245200
716620513132
oct4133573400
91402421020
10560920320
11268696814
12137a26800
138c294c1c
14546d3052
153439d930
hex216ef700

560920320 has 432 divisors, whose sum is σ = 2123634240. Its totient is φ = 136249344.

The previous prime is 560920319. The next prime is 560920331. The reversal of 560920320 is 23029065.

560920320 is a `hidden beast` number, since 5 + 609 + 20 + 32 + 0 = 666.

560920320 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7683804 + ... + 7683876.

It is an arithmetic number, because the mean of its divisors is an integer number (4915820).

Almost surely, 2560920320 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 560920320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1061817120).

560920320 is an abundant number, since it is smaller than the sum of its proper divisors (1562713920).

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

560920320 is a wasteful number, since it uses less digits than its factorization.

560920320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 560920320 is about 23683.7564588053. The cubic root of 560920320 is about 824.7083486992.

Adding to 560920320 its reverse (23029065), we get a palindrome (583949385).

The spelling of 560920320 in words is "five hundred sixty million, nine hundred twenty thousand, three hundred twenty".