Base | Representation |
---|---|
bin | 10100010000111000010000 |
3 | 100222212201100 |
4 | 110100320100 |
5 | 2324441031 |
6 | 305504400 |
7 | 63102633 |
oct | 24207020 |
9 | 10885640 |
10 | 5312016 |
11 | 2aa8aa6 |
12 | 1942100 |
13 | 113cb08 |
14 | 9c3c1a |
15 | 6edde6 |
hex | 510e10 |
5312016 has 60 divisors (see below), whose sum is σ = 15283372. Its totient is φ = 1721088.
The previous prime is 5311993. The next prime is 5312033. The reversal of 5312016 is 6102135.
5312016 is nontrivially palindromic in base 15.
It can be written as a sum of positive squares in 2 ways, for example, as 4665600 + 646416 = 2160^2 + 804^2 .
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a self number, because there is not a number n which added to its sum of digits gives 5312016.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4830 + ... + 5826.
Almost surely, 25312016 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 5312016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7641686).
5312016 is an abundant number, since it is smaller than the sum of its proper divisors (9971356).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
5312016 is a wasteful number, since it uses less digits than its factorization.
5312016 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1048 (or 1039 counting only the distinct ones).
The product of its (nonzero) digits is 180, while the sum is 18.
The square root of 5312016 is about 2304.7811175901. The cubic root of 5312016 is about 174.4830020416.
The spelling of 5312016 in words is "five million, three hundred twelve thousand, sixteen".
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