Base | Representation |
---|---|
bin | 10101101100101101000000 |
3 | 101200222122102 |
4 | 111230231000 |
5 | 2424010003 |
6 | 321525532 |
7 | 66230315 |
oct | 25545500 |
9 | 11628572 |
10 | 5688128 |
11 | 3235636 |
12 | 1aa38a8 |
13 | 1242074 |
14 | a80d0c |
15 | 775588 |
hex | 56cb40 |
5688128 has 56 divisors (see below), whose sum is σ = 12094464. Its totient is φ = 2649600.
The previous prime is 5688127. The next prime is 5688139. The reversal of 5688128 is 8218865.
It is a zygodrome in base 15.
It is a junction number, because it is equal to n+sod(n) for n = 5688091 and 5688100.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (5688127) by changing a digit.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 93218 + ... + 93278.
Almost surely, 25688128 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 5688128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6047232).
5688128 is an abundant number, since it is smaller than the sum of its proper divisors (6406336).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
5688128 is a wasteful number, since it uses less digits than its factorization.
5688128 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 151 (or 141 counting only the distinct ones).
The product of its digits is 30720, while the sum is 38.
The square root of 5688128 is about 2384.9796644835. The cubic root of 5688128 is about 178.5074941864.
The spelling of 5688128 in words is "five million, six hundred eighty-eight thousand, one hundred twenty-eight".
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