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530004384 = 25357213107
BaseRepresentation
bin11111100101110…
…011100110100000
31100221022000100000
4133211303212200
52041140120014
6124331500000
716063651200
oct3745634640
91327260300
10530004384
112521a0158
121295b7600
1385a5c080
1450566400
15317e3509
hex1f9739a0

530004384 has 432 divisors, whose sum is σ = 1976371488. Its totient is φ = 138475008.

The previous prime is 530004361. The next prime is 530004389. The reversal of 530004384 is 483400035.

It is a happy number.

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 (27).

It is not an unprimeable number, because it can be changed into a prime (530004389) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4953259 + ... + 4953365.

It is an arithmetic number, because the mean of its divisors is an integer number (4574934).

Almost surely, 2530004384 is an apocalyptic number.

530004384 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 530004384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (988185744).

530004384 is an abundant number, since it is smaller than the sum of its proper divisors (1446367104).

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

530004384 is a wasteful number, since it uses less digits than its factorization.

530004384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 132 counting only the distinct ones).

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

The square root of 530004384 is about 23021.8240806414. The cubic root of 530004384 is about 809.2694647886.

The spelling of 530004384 in words is "five hundred thirty million, four thousand, three hundred eighty-four".