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530216064 = 27337231101
BaseRepresentation
bin11111100110100…
…111010010000000
31100221200202201000
4133212213102000
52041213403224
6124340212000
716065522300
oct3746472200
91327622630
10530216064
112523251a4
1212969a000
1385b04521
14505bd600
15318360c9
hex1f9a7480

530216064 has 384 divisors, whose sum is σ = 1897689600. Its totient is φ = 145152000.

The previous prime is 530216051. The next prime is 530216069. The reversal of 530216064 is 460612035.

530216064 is a `hidden beast` number, since 5 + 30 + 21 + 606 + 4 = 666.

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

It is a super-2 number, since 2×5302160642 = 562258149047304192, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (530216069) 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, 5249614 + ... + 5249714.

It is an arithmetic number, because the mean of its divisors is an integer number (4941900).

Almost surely, 2530216064 is an apocalyptic number.

530216064 is a gapful number since it is divisible by the number (54) 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 530216064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (948844800).

530216064 is an abundant number, since it is smaller than the sum of its proper divisors (1367473536).

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

530216064 is a wasteful number, since it uses less digits than its factorization.

530216064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 530216064 is about 23026.4209984965. The cubic root of 530216064 is about 809.3771892807.

Adding to 530216064 its reverse (460612035), we get a palindrome (990828099).

The spelling of 530216064 in words is "five hundred thirty million, two hundred sixteen thousand, sixty-four".