Search a number
-
+
530364240 = 24335725011
BaseRepresentation
bin11111100111001…
…011011101010000
31100221222021222000
4133213023131100
52041233123430
6124343314000
716100010300
oct3747133520
91327867860
10530364240
1125241655a
1212974b900
1385b56ac3
145061b600
1531864e60
hex1f9cb750

530364240 has 240 divisors, whose sum is σ = 2125488960. Its totient is φ = 121201920.

The previous prime is 530364239. The next prime is 530364277. The reversal of 530364240 is 42463035.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

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 47 ways as a sum of consecutive naturals, for example, 103335 + ... + 108345.

It is an arithmetic number, because the mean of its divisors is an integer number (8856204).

Almost surely, 2530364240 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 530364240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1062744480).

530364240 is an abundant number, since it is smaller than the sum of its proper divisors (1595124720).

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

530364240 is a wasteful number, since it uses less digits than its factorization.

530364240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5047 (or 5028 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 530364240 is about 23029.6382950319. The cubic root of 530364240 is about 809.4525793667.

The spelling of 530364240 in words is "five hundred thirty million, three hundred sixty-four thousand, two hundred forty".