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556320240 = 2432571743151
BaseRepresentation
bin100001001010001…
…100010111110000
31102202210222220100
4201022030113300
52114404221430
6131111512400
716533433620
oct4112142760
91382728810
10556320240
112660346a3
12136388700
138b344198
1453c56880
1533c90960
hex2128c5f0

556320240 has 480 divisors, whose sum is σ = 2328708096. Its totient is φ = 116121600.

The previous prime is 556320239. The next prime is 556320269. The reversal of 556320240 is 42023655.

556320240 is a `hidden beast` number, since 5 + 5 + 632 + 0 + 24 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3684165 + ... + 3684315.

Almost surely, 2556320240 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 556320240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1164354048).

556320240 is an abundant number, since it is smaller than the sum of its proper divisors (1772387856).

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

556320240 is a wasteful number, since it uses less digits than its factorization.

556320240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 556320240 is about 23586.4418681581. The cubic root of 556320240 is about 822.4476933259.

Adding to 556320240 its reverse (42023655), we get a palindrome (598343895).

The spelling of 556320240 in words is "five hundred fifty-six million, three hundred twenty thousand, two hundred forty".