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530820864 = 283572353
BaseRepresentation
bin11111101000111…
…010111100000000
31100222211111100000
4133220322330000
52041342231424
6124401200000
716103621460
oct3750727400
91328744300
10530820864
112526a8632
12129930000
1385c868b2
14506d9ba0
15319053c9
hex1fa3af00

530820864 has 432 divisors, whose sum is σ = 1928489472. Its totient is φ = 142331904.

The previous prime is 530820859. The next prime is 530820877. The reversal of 530820864 is 468028035.

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 zygodrome in base 3.

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, 10015462 + ... + 10015514.

It is an arithmetic number, because the mean of its divisors is an integer number (4464096).

Almost surely, 2530820864 is an apocalyptic number.

530820864 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 530820864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (964244736).

530820864 is an abundant number, since it is smaller than the sum of its proper divisors (1397668608).

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

530820864 is an equidigital number, since it uses as much as digits as its factorization.

530820864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 530820864 is about 23039.5499956054. The cubic root of 530820864 is about 809.6848156441.

Adding to 530820864 its reverse (468028035), we get a palindrome (998848899).

The spelling of 530820864 in words is "five hundred thirty million, eight hundred twenty thousand, eight hundred sixty-four".