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2020245328 = 242922919013
BaseRepresentation
bin111100001101010…
…0111111101010000
312012210110002121001
41320122213331100
513114140322303
6532244511344
7101030542033
oct17032477520
95183402531
102020245328
11947415242
124846ab554
1326271534a
1415244901a
15bc56131d
hex786a7f50

2020245328 has 40 divisors (see below), whose sum is σ = 4067094600. Its totient is φ = 970980864.

The previous prime is 2020245323. The next prime is 2020245343. The reversal of 2020245328 is 8235420202.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 151585344 + 1868659984 = 12312^2 + 43228^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2020245296 and 2020245305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2020245323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 96750 + ... + 115762.

It is an arithmetic number, because the mean of its divisors is an integer number (101677365).

Almost surely, 22020245328 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 2020245328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2033547300).

2020245328 is an abundant number, since it is smaller than the sum of its proper divisors (2046849272).

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

2020245328 is a wasteful number, since it uses less digits than its factorization.

2020245328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19279 (or 19273 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

The square root of 2020245328 is about 44947.1392638063. The cubic root of 2020245328 is about 1264.1580378427.

The spelling of 2020245328 in words is "two billion, twenty million, two hundred forty-five thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 16 29 58 116 229 232 458 464 916 1832 3664 6641 13282 19013 26564 38026 53128 76052 106256 152104 304208 551377 1102754 2205508 4353977 4411016 8707954 8822032 17415908 34831816 69663632 126265333 252530666 505061332 1010122664 2020245328