Base | Representation |
---|---|
bin | 10110010001110010000000 |
3 | 101222200222022 |
4 | 112101302000 |
5 | 2443340000 |
6 | 325101012 |
7 | 100432145 |
oct | 26216200 |
9 | 11880868 |
10 | 5840000 |
11 | 3329751 |
12 | 1b57768 |
13 | 129622a |
14 | ac03cc |
15 | 7a5585 |
hex | 591c80 |
5840000 has 80 divisors (see below), whose sum is σ = 14737470. Its totient is φ = 2304000.
The previous prime is 5839979. The next prime is 5840039. The reversal of 5840000 is 485.
It can be written as a sum of positive squares in 5 ways, for example, as 118336 + 5721664 = 344^2 + 2392^2 .
It is a tau number, because it is divible by the number of its divisors (80).
It is a hoax number, since the sum of its digits (17) coincides with the sum of the digits of its distinct prime factors.
It is an unprimeable number.
It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 79964 + ... + 80036.
Almost surely, 25840000 is an apocalyptic number.
5840000 is a gapful number since it is divisible by the number (50) 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 5840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7368735).
5840000 is an abundant number, since it is smaller than the sum of its proper divisors (8897470).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
5840000 is an frugal number, since it uses more digits than its factorization.
5840000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 107 (or 80 counting only the distinct ones).
The product of its (nonzero) digits is 160, while the sum is 17.
The square root of 5840000 is about 2416.6091947189. The cubic root of 5840000 is about 180.0822669219.
Adding to 5840000 its reverse (485), we get a palindrome (5840485).
The spelling of 5840000 in words is "five million, eight hundred forty thousand".
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