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530804120 = 2357112359127
BaseRepresentation
bin11111101000110…
…110110110011000
31100222210122100212
4133220312312120
52041341212440
6124400550252
716103521610
oct3750666630
91328718325
10530804120
11252696aa0
12129922388
1385c7c0a2
14506d3a40
1531900465
hex1fa36d98

530804120 has 256 divisors, whose sum is σ = 1592524800. Its totient is φ = 154344960.

The previous prime is 530804093. The next prime is 530804147. The reversal of 530804120 is 21408035.

It is an interprime number because it is at equal distance from previous prime (530804093) and next prime (530804147).

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4179497 + ... + 4179623.

It is an arithmetic number, because the mean of its divisors is an integer number (6220800).

Almost surely, 2530804120 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 530804120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (796262400).

530804120 is an abundant number, since it is smaller than the sum of its proper divisors (1061720680).

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

530804120 is a wasteful number, since it uses less digits than its factorization.

530804120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 530804120 is about 23039.1866175870. The cubic root of 530804120 is about 809.6763020971.

The spelling of 530804120 in words is "five hundred thirty million, eight hundred four thousand, one hundred twenty".