Base | Representation |
---|---|
bin | 10111010110111110100000 |
3 | 102112002202111 |
4 | 113112332200 |
5 | 3031422144 |
6 | 335125104 |
7 | 103022356 |
oct | 27267640 |
9 | 12462674 |
10 | 6123424 |
11 | 350268a |
12 | 2073794 |
13 | 1365238 |
14 | b557d6 |
15 | 80e534 |
hex | 5d6fa0 |
6123424 has 24 divisors (see below), whose sum is σ = 12257028. Its totient is φ = 3010560.
The previous prime is 6123413. The next prime is 6123427. The reversal of 6123424 is 4243216.
It is a happy number.
It can be written as a sum of positive squares in 2 ways, for example, as 6091024 + 32400 = 2468^2 + 180^2 .
It is a junction number, because it is equal to n+sod(n) for n = 6123395 and 6123404.
It is not an unprimeable number, because it can be changed into a prime (6123427) 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 3 ways as a sum of consecutive naturals, for example, 384 + ... + 3520.
Almost surely, 26123424 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 6123424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6128514).
6123424 is an abundant number, since it is smaller than the sum of its proper divisors (6133604).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
6123424 is a wasteful number, since it uses less digits than its factorization.
With its successor (6123425) it forms an eRAP, since the sums of their prime factors are consecutive (3208 and 3209).
6123424 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3208 (or 3200 counting only the distinct ones).
The product of its digits is 1152, while the sum is 22.
The square root of 6123424 is about 2474.5553135867. Note that the first 3 decimals coincide. The cubic root of 6123424 is about 182.9495914590.
The spelling of 6123424 in words is "six million, one hundred twenty-three thousand, four hundred twenty-four".
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