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538536960 = 210325132931
BaseRepresentation
bin100000000110010…
…110110000000000
31101112100111211100
4200012112300000
52100331140320
6125234414400
716226326413
oct4006266000
91345314740
10538536960
11256a98875
12130431400
1387758a30
1451747b7a
153242b790
hex20196c00

538536960 has 528 divisors, whose sum is σ = 2145911040. Its totient is φ = 123863040.

The previous prime is 538536959. The next prime is 538536997. The reversal of 538536960 is 69635835.

538536960 is a `hidden beast` number, since 53 + 8 + 536 + 9 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 17372145 + ... + 17372175.

Almost surely, 2538536960 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 538536960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1072955520).

538536960 is an abundant number, since it is smaller than the sum of its proper divisors (1607374080).

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

538536960 is a wasteful number, since it uses less digits than its factorization.

538536960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The square root of 538536960 is about 23206.3991174848. The cubic root of 538536960 is about 813.5891935925.

The spelling of 538536960 in words is "five hundred thirty-eight million, five hundred thirty-six thousand, nine hundred sixty".