Base | Representation |
---|---|
bin | 100111101111… |
… | …0000011000000 |
3 | 1110012101202011 |
4 | 1033132003000 |
5 | 20313114243 |
6 | 2022302304 |
7 | 342034000 |
oct | 117360300 |
9 | 43171664 |
10 | 20832448 |
11 | 108397aa |
12 | 6b87994 |
13 | 44152c0 |
14 | 2aa4000 |
15 | 1c6789d |
hex | 13de0c0 |
20832448 has 112 divisors (see below), whose sum is σ = 52628800. Its totient is φ = 8128512.
The previous prime is 20832439. The next prime is 20832451. The reversal of 20832448 is 84423802.
It is a tau number, because it is divible by the number of its divisors (112).
It is an unprimeable number.
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 15 ways as a sum of consecutive naturals, for example, 285340 + ... + 285412.
It is an arithmetic number, because the mean of its divisors is an integer number (469900).
Almost surely, 220832448 is an apocalyptic number.
20832448 is a gapful number since it is divisible by the number (28) 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 20832448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26314400).
20832448 is an abundant number, since it is smaller than the sum of its proper divisors (31796352).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
20832448 is an equidigital number, since it uses as much as digits as its factorization.
20832448 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 119 (or 95 counting only the distinct ones).
The product of its (nonzero) digits is 12288, while the sum is 31.
The square root of 20832448 is about 4564.2576614385. The cubic root of 20832448 is about 275.1567062777.
The spelling of 20832448 in words is "twenty million, eight hundred thirty-two thousand, four hundred forty-eight".
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