Base | Representation |
---|---|
bin | 101011111110… |
… | …110000000000 |
3 | 210200202010000 |
4 | 223332300000 |
5 | 10422413331 |
6 | 1051040000 |
7 | 166665606 |
oct | 53766000 |
9 | 23622100 |
10 | 11529216 |
11 | 6565086 |
12 | 3a40000 |
13 | 250892a |
14 | 1761876 |
15 | 102b0e6 |
hex | afec00 |
11529216 has 110 divisors (see below), whose sum is σ = 34676180. Its totient is φ = 3815424.
The previous prime is 11529197. The next prime is 11529223. The reversal of 11529216 is 61292511.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a self number, because there is not a number n which added to its sum of digits gives 11529216.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 82875 + ... + 83013.
It is an arithmetic number, because the mean of its divisors is an integer number (315238).
It is a vampire number, since it can be written as 1251 ⋅ 9216 (with its own digits).
Almost surely, 211529216 is an apocalyptic number.
11529216 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 11529216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17338090).
11529216 is an abundant number, since it is smaller than the sum of its proper divisors (23146964).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
11529216 is an equidigital number, since it uses as much as digits as its factorization.
11529216 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 171 (or 144 counting only the distinct ones).
The product of its digits is 1080, while the sum is 27.
The square root of 11529216 is about 3395.4699232949. The cubic root of 11529216 is about 225.9088571841.
The spelling of 11529216 in words is "eleven million, five hundred twenty-nine thousand, two hundred sixteen".
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