Base | Representation |
---|---|
bin | 10100001110001000100000 |
3 | 100222022021202 |
4 | 110032020200 |
5 | 2324111033 |
6 | 305340332 |
7 | 63025064 |
oct | 24161040 |
9 | 10868252 |
10 | 5300768 |
11 | 2aa0600 |
12 | 19376a8 |
13 | 1137965 |
14 | 9bdaa4 |
15 | 6ea8e8 |
hex | 50e220 |
5300768 has 54 divisors (see below), whose sum is σ = 11789253. Its totient is φ = 2344320.
The previous prime is 5300761. The next prime is 5300773. The reversal of 5300768 is 8670035.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
It can be written as a sum of positive squares in 2 ways, for example, as 4276624 + 1024144 = 2068^2 + 1012^2 .
It is an ABA number since it can be written as A⋅BA, here for A=2, B=1628.
It is a Duffinian number.
It is a self number, because there is not a number n which added to its sum of digits gives 5300768.
It is not an unprimeable number, because it can be changed into a prime (5300761) by changing a digit.
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 8 ways as a sum of consecutive naturals, for example, 143246 + ... + 143282.
Almost surely, 25300768 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 5300768
5300768 is an abundant number, since it is smaller than the sum of its proper divisors (6488485).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
5300768 is a wasteful number, since it uses less digits than its factorization.
5300768 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 106 (or 50 counting only the distinct ones).
The product of its (nonzero) digits is 5040, while the sum is 29.
The square root of 5300768 is about 2302.3396795434. The cubic root of 5300768 is about 174.3597612185.
The spelling of 5300768 in words is "five million, three hundred thousand, seven hundred sixty-eight".
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