| Base | Representation |
|---|---|
| bin | 101001111110… |
| … | …100001100000 |
| 3 | 202201001122120 |
| 4 | 221332201200 |
| 5 | 10304112000 |
| 6 | 1031504240 |
| 7 | 162350430 |
| oct | 51764140 |
| 9 | 22631576 |
| 10 | 11004000 |
| 11 | 6236517 |
| 12 | 3828080 |
| 13 | 2383857 |
| 14 | 16662c0 |
| 15 | e756a0 |
| hex | a7e860 |
11004000 has 192 divisors, whose sum is σ = 41513472. Its totient is φ = 2496000.
The previous prime is 11003957. The next prime is 11004017. The reversal of 11004000 is 40011.
It is a Harshad number since it is a multiple of its sum of digits (6).
It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.
It is a self number, because there is not a number n which added to its sum of digits gives 11004000.
It is a congruent number.
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 31 ways as a sum of consecutive naturals, for example, 83935 + ... + 84065.
It is an arithmetic number, because the mean of its divisors is an integer number (216216).
Almost surely, 211004000 is an apocalyptic number.
11004000 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 11004000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20756736).
11004000 is an abundant number, since it is smaller than the sum of its proper divisors (30509472).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
11004000 is a wasteful number, since it uses less digits than its factorization.
11004000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 166 (or 148 counting only the distinct ones).
The product of its (nonzero) digits is 4, while the sum is 6.
The square root of 11004000 is about 3317.2277582343. The cubic root of 11004000 is about 222.4249631245.
Adding to 11004000 its reverse (40011), we get a palindrome (11044011).
It can be divided in two parts, 1 and 1004000, that added together give a palindrome (1004001).
The spelling of 11004000 in words is "eleven million, four thousand".
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