Base | Representation |
---|---|
bin | 10101111111111111011000 |
3 | 101212000000100 |
4 | 111333333120 |
5 | 2434022003 |
6 | 323335400 |
7 | 100006533 |
oct | 25777730 |
9 | 11760010 |
10 | 5767128 |
11 | 3289a24 |
12 | 1b21560 |
13 | 126c003 |
14 | aa1a1a |
15 | 78dba3 |
hex | 57ffd8 |
5767128 has 48 divisors (see below), whose sum is σ = 15743520. Its totient is φ = 1907136.
The previous prime is 5767109. The next prime is 5767129. The reversal of 5767128 is 8217675.
It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a d-powerful number, because it can be written as 5 + 72 + 63 + 78 + 1 + 211 + 8 .
5767128 is a modest number, since divided by 7128 gives 576 as remainder.
It is a junction number, because it is equal to n+sod(n) for n = 5767092 and 5767101.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (5767129) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12225 + ... + 12687.
It is an arithmetic number, because the mean of its divisors is an integer number (327990).
Almost surely, 25767128 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 5767128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7871760).
5767128 is an abundant number, since it is smaller than the sum of its proper divisors (9976392).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
5767128 is a wasteful number, since it uses less digits than its factorization.
5767128 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 648 (or 641 counting only the distinct ones).
The product of its digits is 23520, while the sum is 36.
The square root of 5767128 is about 2401.4845408622. The cubic root of 5767128 is about 179.3301025600.
The spelling of 5767128 in words is "five million, seven hundred sixty-seven thousand, one hundred twenty-eight".
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