| Base | Representation |
|---|---|
| bin | 101001111110… |
| … | …110100010000 |
| 3 | 202201010022000 |
| 4 | 221332310100 |
| 5 | 10304131300 |
| 6 | 1031514000 |
| 7 | 162354063 |
| oct | 51766420 |
| 9 | 22633260 |
| 10 | 11005200 |
| 11 | 6237408 |
| 12 | 3828900 |
| 13 | 238426b |
| 14 | 16668da |
| 15 | e75c00 |
| hex | a7ed10 |
11005200 has 120 divisors (see below), whose sum is σ = 39208800. Its totient is φ = 2931840.
The previous prime is 11005177. The next prime is 11005207. The reversal of 11005200 is 250011.
It is a happy number.
11005200 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (120).
It is a super-2 number, since 2×110052002 = 242228854080000, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (9).
It is not an unprimeable number, because it can be changed into a prime (11005207) 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, 10291 + ... + 11309.
It is an arithmetic number, because the mean of its divisors is an integer number (326740).
Almost surely, 211005200 is an apocalyptic number.
11005200 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 11005200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19604400).
11005200 is an abundant number, since it is smaller than the sum of its proper divisors (28203600).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
11005200 is a wasteful number, since it uses less digits than its factorization.
11005200 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1046 (or 1029 counting only the distinct ones).
The product of its (nonzero) digits is 10, while the sum is 9.
The square root of 11005200 is about 3317.4086272270. The cubic root of 11005200 is about 222.4330480710.
Adding to 11005200 its reverse (250011), we get a palindrome (11255211).
The spelling of 11005200 in words is "eleven million, five thousand, two hundred".
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