Base | Representation |
---|---|
bin | 101011000110… |
… | …100000000000 |
3 | 210021001001200 |
4 | 223012200000 |
5 | 10343030231 |
6 | 1042101200 |
7 | 165016104 |
oct | 53064000 |
9 | 23231050 |
10 | 11298816 |
11 | 6417a71 |
12 | 394a800 |
13 | 2457ab9 |
14 | 1701904 |
15 | ed2be6 |
hex | ac6800 |
11298816 has 72 divisors (see below), whose sum is σ = 32686290. Its totient is φ = 3760128.
The previous prime is 11298811. The next prime is 11298823. The reversal of 11298816 is 61889211.
It can be written as a sum of positive squares in only one way, i.e., 11289600 + 9216 = 3360^2 + 96^2 .
It is a tau number, because it is divible by the number of its divisors (72).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a nude number because it is divisible by every one of its digits.
It is not an unprimeable number, because it can be changed into a prime (11298811) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 18126 + ... + 18738.
Almost surely, 211298816 is an apocalyptic number.
11298816 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 11298816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16343145).
11298816 is an abundant number, since it is smaller than the sum of its proper divisors (21387474).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
11298816 is an equidigital number, since it uses as much as digits as its factorization.
11298816 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 641 (or 618 counting only the distinct ones).
The product of its digits is 6912, while the sum is 36.
The square root of 11298816 is about 3361.3711488022. The cubic root of 11298816 is about 224.3938648746.
The spelling of 11298816 in words is "eleven million, two hundred ninety-eight thousand, eight hundred sixteen".
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