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530339040 = 253257114783
BaseRepresentation
bin11111100111000…
…101010011100000
31100221221000101200
4133213011103200
52041231322130
6124343001200
716066543650
oct3747052340
91327830350
10530339040
112523a9630
12129739200
1385b484aa
1450612360
153185c760
hex1f9c54e0

530339040 has 288 divisors, whose sum is σ = 2256823296. Its totient is φ = 110177280.

The previous prime is 530339027. The next prime is 530339143. The reversal of 530339040 is 40933035.

530339040 is a `hidden beast` number, since 530 + 3 + 3 + 90 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 530338995 and 530339013.

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, 108489 + ... + 113271.

It is an arithmetic number, because the mean of its divisors is an integer number (7836192).

Almost surely, 2530339040 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 530339040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1128411648).

530339040 is an abundant number, since it is smaller than the sum of its proper divisors (1726484256).

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

530339040 is a wasteful number, since it uses less digits than its factorization.

530339040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4822 (or 4811 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 27.

The square root of 530339040 is about 23029.0911674777. The cubic root of 530339040 is about 809.4397589146.

The spelling of 530339040 in words is "five hundred thirty million, three hundred thirty-nine thousand, forty".