Base | Representation |
---|---|
bin | 10110010010010010100000 |
3 | 101222210211100 |
4 | 112102102200 |
5 | 2443421310 |
6 | 325114400 |
7 | 100441206 |
oct | 26222240 |
9 | 11883740 |
10 | 5842080 |
11 | 3330272 |
12 | 1b58a00 |
13 | 129716a |
14 | ac1076 |
15 | 7a5ec0 |
hex | 5924a0 |
5842080 has 72 divisors (see below), whose sum is σ = 19941012. Its totient is φ = 1557504.
The previous prime is 5842051. The next prime is 5842087. The reversal of 5842080 is 802485.
5842080 is a `hidden beast` number, since 584 + 2 + 0 + 80 = 666.
It can be written as a sum of positive squares in 2 ways, for example, as 5817744 + 24336 = 2412^2 + 156^2 .
It is a tau number, because it is divible by the number of its divisors (72).
It is an Ulam number.
It is not an unprimeable number, because it can be changed into a prime (5842087) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 589 + ... + 3468.
Almost surely, 25842080 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 5842080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9970506).
5842080 is an abundant number, since it is smaller than the sum of its proper divisors (14098932).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
5842080 is a wasteful number, since it uses less digits than its factorization.
5842080 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 4078 (or 4067 counting only the distinct ones).
The product of its (nonzero) digits is 2560, while the sum is 27.
The square root of 5842080 is about 2417.0395114685. The cubic root of 5842080 is about 180.1036440140.
The spelling of 5842080 in words is "five million, eight hundred forty-two thousand, eighty".
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