Search a number
-
+
5820534720 = 2633571113673
BaseRepresentation
bin1010110101110111…
…00100111111000000
3120000122100210121000
411122323210333000
543410024102340
62401322132000
7264144504660
oct53273447700
916018323530
105820534720
1125175a3980
121165351000
13719b513b0
143d30541a0
15240ed7d30
hex15aee4fc0

5820534720 has 896 divisors, whose sum is σ = 27610490880. Its totient is φ = 1114767360.

The previous prime is 5820534703. The next prime is 5820534743. The reversal of 5820534720 is 274350285.

5820534720 is a `hidden beast` number, since 58 + 2 + 0 + 534 + 72 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8648304 + ... + 8648976.

It is an arithmetic number, because the mean of its divisors is an integer number (30815280).

Almost surely, 25820534720 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 5820534720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13805245440).

5820534720 is an abundant number, since it is smaller than the sum of its proper divisors (21789956160).

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

5820534720 is a wasteful number, since it uses less digits than its factorization.

5820534720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 730 (or 714 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 5820534720 is about 76292.4289821736. The cubic root of 5820534720 is about 1798.8196706262.

The spelling of 5820534720 in words is "five billion, eight hundred twenty million, five hundred thirty-four thousand, seven hundred twenty".