Base | Representation |
---|---|
bin | 101001111101… |
… | …101000000000 |
3 | 202200212121021 |
4 | 221331220000 |
5 | 10304002240 |
6 | 1031435224 |
7 | 162333622 |
oct | 51755000 |
9 | 22625537 |
10 | 11000320 |
11 | 6233781 |
12 | 3825b14 |
13 | 2381c86 |
14 | 1664c12 |
15 | e7454a |
hex | a7da00 |
11000320 has 40 divisors (see below), whose sum is σ = 26381124. Its totient is φ = 4399104.
The previous prime is 11000299. The next prime is 11000347. The reversal of 11000320 is 2300011.
It can be written as a sum of positive squares in 2 ways, for example, as 10969344 + 30976 = 3312^2 + 176^2 .
It is a tau number, because it is divible by the number of its divisors (40).
It is an unprimeable number.
It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 412 + ... + 4708.
Almost surely, 211000320 is an apocalyptic number.
11000320 is a gapful number since it is divisible by the number (10) 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 11000320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13190562).
11000320 is an abundant number, since it is smaller than the sum of its proper divisors (15380804).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
11000320 is an frugal number, since it uses more digits than its factorization.
11000320 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 4320 (or 4304 counting only the distinct ones).
The product of its (nonzero) digits is 6, while the sum is 7.
The square root of 11000320 is about 3316.6730318197. The cubic root of 11000320 is about 222.4001656228.
Adding to 11000320 its reverse (2300011), we get a palindrome (13300331).
The spelling of 11000320 in words is "eleven million, three hundred twenty", and thus it is an aban number.
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