Base | Representation |
---|---|
bin | 101010111001… |
… | …010100010000 |
3 | 210011021222200 |
4 | 222321110100 |
5 | 10334313231 |
6 | 1041003200 |
7 | 164402502 |
oct | 52712420 |
9 | 23137880 |
10 | 11244816 |
11 | 6390440 |
12 | 3923500 |
13 | 243934b |
14 | 16c9d72 |
15 | ec1be6 |
hex | ab9510 |
11244816 has 120 divisors (see below), whose sum is σ = 35592960. Its totient is φ = 3283200.
The previous prime is 11244809. The next prime is 11244817. The reversal of 11244816 is 61844211.
It is a happy number.
It is a nude number because it is divisible by every one of its digits.
It is a self number, because there is not a number n which added to its sum of digits gives 11244816.
It is not an unprimeable number, because it can be changed into a prime (11244817) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48990 + ... + 49218.
It is an arithmetic number, because the mean of its divisors is an integer number (296608).
Almost surely, 211244816 is an apocalyptic number.
11244816 is a gapful number since it is divisible by the number (16) 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 11244816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17796480).
11244816 is an abundant number, since it is smaller than the sum of its proper divisors (24348144).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
11244816 is a wasteful number, since it uses less digits than its factorization.
11244816 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 285 (or 276 counting only the distinct ones).
The product of its digits is 1536, while the sum is 27.
The square root of 11244816 is about 3353.3290921113. The cubic root of 11244816 is about 224.0358148516.
The spelling of 11244816 in words is "eleven million, two hundred forty-four thousand, eight hundred sixteen".
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