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530284320 = 2535523593
BaseRepresentation
bin11111100110110…
…111111100100000
31100221211020100000
4133212313330200
52041223044240
6124341500000
716066225266
oct3746677440
91327736300
10530284320
11252371505
12129711600
1385b29607
14505da436
153184b430
hex1f9b7f20

530284320 has 288 divisors, whose sum is σ = 1961511552. Its totient is φ = 135032832.

The previous prime is 530284289. The next prime is 530284327. The reversal of 530284320 is 23482035.

It is a tau number, because it is divible by the number of its divisors (288).

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 (530284327) 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, 893944 + ... + 894536.

It is an arithmetic number, because the mean of its divisors is an integer number (6810804).

Almost surely, 2530284320 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 530284320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (980755776).

530284320 is an abundant number, since it is smaller than the sum of its proper divisors (1431227232).

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

530284320 is a wasteful number, since it uses less digits than its factorization.

530284320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 646 (or 626 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 530284320 is about 23027.9030743140. The cubic root of 530284320 is about 809.4119188200.

The spelling of 530284320 in words is "five hundred thirty million, two hundred eighty-four thousand, three hundred twenty".