Base | Representation |
---|---|
bin | 111110001000110… |
… | …0110111011100000 |
3 | 12101022021111112100 |
4 | 1330101212323200 |
5 | 13232224200223 |
6 | 542520330400 |
7 | 102445062024 |
oct | 17421467340 |
9 | 5338244470 |
10 | 2084990688 |
11 | 97aa17400 |
12 | 4a2313a00 |
13 | 272c64201 |
14 | 15aca0384 |
15 | c30a0043 |
hex | 7c466ee0 |
2084990688 has 432 divisors, whose sum is σ = 7110754560. Its totient is φ = 577082880.
The previous prime is 2084990681. The next prime is 2084990689. The reversal of 2084990688 is 8860994802.
2084990688 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.
It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2084990681) by changing a digit.
It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 31119231 + ... + 31119297.
It is an arithmetic number, because the mean of its divisors is an integer number (16460080).
Almost surely, 22084990688 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 2084990688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3555377280).
2084990688 is an abundant number, since it is smaller than the sum of its proper divisors (5025763872).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2084990688 is a wasteful number, since it uses less digits than its factorization.
2084990688 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 171 (or 149 counting only the distinct ones).
The product of its (nonzero) digits is 1990656, while the sum is 54.
The square root of 2084990688 is about 45661.6982601392. The cubic root of 2084990688 is about 1277.5209766228.
The spelling of 2084990688 in words is "two billion, eighty-four million, nine hundred ninety thousand, six hundred eighty-eight".
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