Search a number
-
+
2020300128 = 25327111723233
BaseRepresentation
bin111100001101011…
…0101010101100000
312012210112212202200
41320122311111200
513114144101003
6532250013200
7101031160560
oct17032652540
95183485680
102020300128
11947452430
12484717200
13262734282
14152460da0
15bc5726a3
hex786b5560

2020300128 has 576 divisors, whose sum is σ = 7947942912. Its totient is φ = 470384640.

The previous prime is 2020300127. The next prime is 2020300169. The reversal of 2020300128 is 8210030202.

It is a happy number.

It is a super-2 number, since 2×20203001282 = 8163225214393632768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 2020300128.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2020300127) 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, 8670700 + ... + 8670932.

It is an arithmetic number, because the mean of its divisors is an integer number (13798512).

Almost surely, 22020300128 is an apocalyptic number.

2020300128 is a gapful number since it is divisible by the number (28) 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 2020300128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3973971456).

2020300128 is an abundant number, since it is smaller than the sum of its proper divisors (5927642784).

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

2020300128 is a wasteful number, since it uses less digits than its factorization.

2020300128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2020300128 is about 44947.7488646539. The cubic root of 2020300128 is about 1264.1694680113.

The spelling of 2020300128 in words is "two billion, twenty million, three hundred thousand, one hundred twenty-eight".