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530056080 = 2432537101197
BaseRepresentation
bin11111100110000…
…000001110010000
31100221101122020200
4133212000032100
52041143243310
6124332535200
716064255001
oct3746001620
91327348220
10530056080
11252225a84
12129621500
1385a79768
145057b1a8
15318039c0
hex1f980390

530056080 has 240 divisors, whose sum is σ = 1855689264. Its totient is φ = 135475200.

The previous prime is 530056013. The next prime is 530056081. The reversal of 530056080 is 80650035.

530056080 is a `hidden beast` number, since 53 + 0 + 0 + 5 + 608 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 257409936 + 272646144 = 16044^2 + 16512^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (530056081) 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, 2690542 + ... + 2690738.

Almost surely, 2530056080 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 530056080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (927844632).

530056080 is an abundant number, since it is smaller than the sum of its proper divisors (1325633184).

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

530056080 is a wasteful number, since it uses less digits than its factorization.

530056080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 530056080 is about 23022.9468139941. The cubic root of 530056080 is about 809.2957756616.

The spelling of 530056080 in words is "five hundred thirty million, fifty-six thousand, eighty".