| Base | Representation |
|---|---|
| bin | 111110001010100… |
| … | …1011011000000000 |
| 3 | 12101101001001002100 |
| 4 | 1330111023120000 |
| 5 | 13232444121100 |
| 6 | 542552350400 |
| 7 | 102456040035 |
| oct | 17425133000 |
| 9 | 5341031070 |
| 10 | 2085926400 |
| 11 | 9804a6418 |
| 12 | 4a26a5400 |
| 13 | 27320109c |
| 14 | 15b06538c |
| 15 | c31d7400 |
| hex | 7c54b600 |
2085926400 has 360 divisors, whose sum is σ = 7866092520. Its totient is φ = 526417920.
The previous prime is 2085926363. The next prime is 2085926407. The reversal of 2085926400 is 46295802.
It is a happy number.
2085926400 is a `hidden beast` number, since 2 + 0 + 8 + 5 + 9 + 2 + 640 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (360).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2085926407) by changing a digit.
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 35 ways as a sum of consecutive naturals, for example, 2188324 + ... + 2189276.
It is an arithmetic number, because the mean of its divisors is an integer number (21850257).
Almost surely, 22085926400 is an apocalyptic number.
2085926400 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 2085926400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3933046260).
2085926400 is an abundant number, since it is smaller than the sum of its proper divisors (5780166120).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2085926400 is a wasteful number, since it uses less digits than its factorization.
2085926400 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1006 (or 982 counting only the distinct ones).
The product of its (nonzero) digits is 34560, while the sum is 36.
The square root of 2085926400 is about 45671.9432474687. The cubic root of 2085926400 is about 1277.7120586798.
The spelling of 2085926400 in words is "two billion, eighty-five million, nine hundred twenty-six thousand, four hundred".
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