Base | Representation |
---|---|
bin | 1100110101001… |
… | …1101010110000 |
3 | 10202021100021022 |
4 | 3031103222300 |
5 | 102234220310 |
6 | 5201315012 |
7 | 1222314566 |
oct | 315235260 |
9 | 122240238 |
10 | 53820080 |
11 | 2841a906 |
12 | 16035a68 |
13 | b1c5102 |
14 | 720da36 |
15 | 4ad1a55 |
hex | 3353ab0 |
53820080 has 40 divisors (see below), whose sum is σ = 126554400. Its totient is φ = 21283328.
The previous prime is 53820077. The next prime is 53820097. The reversal of 53820080 is 8002835.
53820080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (40).
It is a super-2 number, since 2×538200802 = 5793202022412800, which contains 22 as substring.
It is an unprimeable number.
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 7 ways as a sum of consecutive naturals, for example, 3341 + ... + 10899.
It is an arithmetic number, because the mean of its divisors is an integer number (3163860).
Almost surely, 253820080 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 53820080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63277200).
53820080 is an abundant number, since it is smaller than the sum of its proper divisors (72734320).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
53820080 is a wasteful number, since it uses less digits than its factorization.
53820080 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 7661 (or 7655 counting only the distinct ones).
The product of its (nonzero) digits is 1920, while the sum is 26.
The square root of 53820080 is about 7336.2170087859. The cubic root of 53820080 is about 377.5560608525.
The spelling of 53820080 in words is "fifty-three million, eight hundred twenty thousand, eighty".
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