Base | Representation |
---|---|
bin | 101010110100… |
… | …000000100000 |
3 | 210010012011100 |
4 | 222310000200 |
5 | 10333114242 |
6 | 1040314400 |
7 | 164252220 |
oct | 52640040 |
9 | 23105140 |
10 | 11223072 |
11 | 6376073 |
12 | 3912a00 |
13 | 242c493 |
14 | 16c2080 |
15 | eba54c |
hex | ab4020 |
11223072 has 144 divisors (see below), whose sum is σ = 38525760. Its totient is φ = 3027456.
The previous prime is 11223071. The next prime is 11223073. The reversal of 11223072 is 27032211.
It is an interprime number because it is at equal distance from previous prime (11223071) and next prime (11223073).
It is a tau number, because it is divible by the number of its divisors (144).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is not an unprimeable number, because it can be changed into a prime (11223071) 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 23 ways as a sum of consecutive naturals, for example, 38158 + ... + 38450.
It is an arithmetic number, because the mean of its divisors is an integer number (267540).
Almost surely, 211223072 is an apocalyptic number.
11223072 is a gapful number since it is divisible by the number (12) 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 11223072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19262880).
11223072 is an abundant number, since it is smaller than the sum of its proper divisors (27302688).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
11223072 is a wasteful number, since it uses less digits than its factorization.
11223072 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 335 (or 324 counting only the distinct ones).
The product of its (nonzero) digits is 168, while the sum is 18.
The square root of 11223072 is about 3350.0853720465. The cubic root of 11223072 is about 223.8913163234.
Adding to 11223072 its reverse (27032211), we get a palindrome (38255283).
The spelling of 11223072 in words is "eleven million, two hundred twenty-three thousand, seventy-two".
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