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2020332032 = 2926914669
BaseRepresentation
bin111100001101011…
…1101001000000000
312012210121111112022
41320122331020000
513114201111112
6532250421012
7101031352565
oct17032751000
95183544468
102020332032
119474743a4
12484731768
13262745954
1415246c86c
15bc57bd72
hex786bd200

2020332032 has 40 divisors (see below), whose sum is σ = 4052000700. Its totient is φ = 1006342144.

The previous prime is 2020332023. The next prime is 2020332043. The reversal of 2020332032 is 2302330202.

It can be written as a sum of positive squares in 2 ways, for example, as 1948692736 + 71639296 = 44144^2 + 8464^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2020332032.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 130394 + ... + 145062.

Almost surely, 22020332032 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 2020332032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2026000350).

2020332032 is an abundant number, since it is smaller than the sum of its proper divisors (2031668668).

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

2020332032 is an equidigital number, since it uses as much as digits as its factorization.

2020332032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14956 (or 14940 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 17.

The square root of 2020332032 is about 44948.1037642301. The cubic root of 2020332032 is about 1264.1761224434.

Adding to 2020332032 its reverse (2302330202), we get a palindrome (4322662234).

The spelling of 2020332032 in words is "two billion, twenty million, three hundred thirty-two thousand, thirty-two".

Divisors: 1 2 4 8 16 32 64 128 256 269 512 538 1076 2152 4304 8608 14669 17216 29338 34432 58676 68864 117352 137728 234704 469408 938816 1877632 3755264 3945961 7510528 7891922 15783844 31567688 63135376 126270752 252541504 505083008 1010166016 2020332032