Base | Representation |
---|---|
bin | 100001001111… |
… | …111111010000 |
3 | 121101211102201 |
4 | 201033333100 |
5 | 4212404430 |
6 | 510452544 |
7 | 134041531 |
oct | 41177720 |
9 | 17354381 |
10 | 8716240 |
11 | 4a13705 |
12 | 2b04154 |
13 | 1a62450 |
14 | 122c688 |
15 | b728ca |
hex | 84ffd0 |
8716240 has 120 divisors (see below), whose sum is σ = 23982840. Its totient is φ = 2924544.
The previous prime is 8716237. The next prime is 8716243. The reversal of 8716240 is 426178.
It is an interprime number because it is at equal distance from previous prime (8716237) and next prime (8716243).
It can be written as a sum of positive squares in 12 ways, for example, as 1032256 + 7683984 = 1016^2 + 2772^2 .
It is a junction number, because it is equal to n+sod(n) for n = 8716199 and 8716208.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (8716243) by changing a digit.
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 23 ways as a sum of consecutive naturals, for example, 300546 + ... + 300574.
It is an arithmetic number, because the mean of its divisors is an integer number (199857).
Almost surely, 28716240 is an apocalyptic number.
8716240 is a gapful number since it is divisible by the number (80) 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 8716240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11991420).
8716240 is an abundant number, since it is smaller than the sum of its proper divisors (15266600).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
8716240 is a wasteful number, since it uses less digits than its factorization.
8716240 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 89 (or 66 counting only the distinct ones).
The product of its (nonzero) digits is 2688, while the sum is 28.
The square root of 8716240 is about 2952.3278950686. The cubic root of 8716240 is about 205.7989051493.
The spelling of 8716240 in words is "eight million, seven hundred sixteen thousand, two hundred forty".
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