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560528640 = 2833572331
BaseRepresentation
bin100001011010001…
…111110100000000
31110001201210202000
4201122033310000
52121443404030
6131342024000
716614262200
oct4132176400
91401653660
10560528640
11268449511
12137878000
138c188869
1454630400
1534322860
hex2168fd00

560528640 has 432 divisors, whose sum is σ = 2320839360. Its totient is φ = 127733760.

The previous prime is 560528629. The next prime is 560528669. The reversal of 560528640 is 46825065.

560528640 is a `hidden beast` number, since 5 + 6 + 0 + 5 + 2 + 8 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 560528595 and 560528604.

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, 1693275 + ... + 1693605.

Almost surely, 2560528640 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 560528640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1160419680).

560528640 is an abundant number, since it is smaller than the sum of its proper divisors (1760310720).

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

560528640 is a wasteful number, since it uses less digits than its factorization.

560528640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 560528640 is about 23675.4860562566. The cubic root of 560528640 is about 824.5163446121.

The spelling of 560528640 in words is "five hundred sixty million, five hundred twenty-eight thousand, six hundred forty".