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20020840320 = 273513821977
BaseRepresentation
bin10010101001010101…
…011100011110000000
31220200021202001210110
4102221111130132000
5312000313342240
613110352031320
71306064222565
oct225125343600
956607661713
1020020840320
118544273728
123a68b32540
131b70ac36a0
14d7cd8c86c
157c29d5c80
hex4a955c780

20020840320 has 256 divisors, whose sum is σ = 68879522880. Its totient is φ = 4917166080.

The previous prime is 20020840297. The next prime is 20020840321. The reversal of 20020840320 is 2304802002.

It is a super-3 number, since 3×200208403203 (a number of 32 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20020840321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20491672 + ... + 20492648.

Almost surely, 220020840320 is an apocalyptic number.

20020840320 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 20020840320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34439761440).

20020840320 is an abundant number, since it is smaller than the sum of its proper divisors (48858682560).

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

20020840320 is a wasteful number, since it uses less digits than its factorization.

20020840320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1833 (or 1821 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The spelling of 20020840320 in words is "twenty billion, twenty million, eight hundred forty thousand, three hundred twenty".