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556312020 = 22351121937109
BaseRepresentation
bin100001001010001…
…010010111010100
31102202210120121220
4201022022113110
52114403441040
6131111410340
716533400635
oct4112122724
91382716556
10556312020
11266029500
121363839b0
138b340514
1453c5388c
1533c8d2d0
hex2128a5d4

556312020 has 288 divisors, whose sum is σ = 1867958400. Its totient is φ = 123171840.

The previous prime is 556311989. The next prime is 556312021. The reversal of 556312020 is 20213655.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (556312021) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5103726 + ... + 5103834.

Almost surely, 2556312020 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 556312020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (933979200).

556312020 is an abundant number, since it is smaller than the sum of its proper divisors (1311646380).

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

556312020 is a wasteful number, since it uses less digits than its factorization.

556312020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 556312020 is about 23586.2676148644. The cubic root of 556312020 is about 822.4436425695.

Adding to 556312020 its reverse (20213655), we get a palindrome (576525675).

The spelling of 556312020 in words is "five hundred fifty-six million, three hundred twelve thousand, twenty".