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2020300800 = 21135271879
BaseRepresentation
bin111100001101011…
…0101100000000000
312012210112220200120
41320122311200000
513114144111200
6532250020240
7101031162540
oct17032654000
95183486616
102020300800
11947452991
12484717680
1326273467b
14152461320
15bc5729a0
hex786b5800

2020300800 has 288 divisors, whose sum is σ = 7637011200. Its totient is φ = 461537280.

The previous prime is 2020300787. The next prime is 2020300829. The reversal of 2020300800 is 80030202.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2020300800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1074261 + ... + 1076139.

It is an arithmetic number, because the mean of its divisors is an integer number (26517400).

Almost surely, 22020300800 is an apocalyptic number.

2020300800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2020300800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3818505600).

2020300800 is an abundant number, since it is smaller than the sum of its proper divisors (5616710400).

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

2020300800 is a wasteful number, since it uses less digits than its factorization.

2020300800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1921 (or 1896 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 2020300800 is about 44947.7563399999. The cubic root of 2020300800 is about 1264.1696081755.

The spelling of 2020300800 in words is "two billion, twenty million, three hundred thousand, eight hundred".