| Base | Representation |
|---|---|
| bin | 100111101011… |
| … | …0010100100000 |
| 3 | 1110010210100000 |
| 4 | 1033112110200 |
| 5 | 20311111200 |
| 6 | 2021500000 |
| 7 | 341542506 |
| oct | 117262440 |
| 9 | 43123300 |
| 10 | 20800800 |
| 11 | 10817a49 |
| 12 | 6b71600 |
| 13 | 4403a87 |
| 14 | 2a96676 |
| 15 | 1c5d300 |
| hex | 13d6520 |
20800800 has 216 divisors, whose sum is σ = 76776336. Its totient is φ = 5495040.
The previous prime is 20800739. The next prime is 20800807. The reversal of 20800800 is 800802.
It is a tau number, because it is divible by the number of its divisors (216).
It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.
It is not an unprimeable number, because it can be changed into a prime (20800807) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 194347 + ... + 194453.
It is an arithmetic number, because the mean of its divisors is an integer number (355446).
Almost surely, 220800800 is an apocalyptic number.
20800800 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 20800800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38388168).
20800800 is an abundant number, since it is smaller than the sum of its proper divisors (55975536).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
20800800 is a wasteful number, since it uses less digits than its factorization.
20800800 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 142 (or 117 counting only the distinct ones).
The product of its (nonzero) digits is 128, while the sum is 18.
The square root of 20800800 is about 4560.7894053552. The cubic root of 20800800 is about 275.0172991872.
The spelling of 20800800 in words is "twenty million, eight hundred thousand, eight hundred".
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