| Base | Representation |
|---|---|
| bin | 101101000011… |
| … | …100010111000 |
| 3 | 211020001122110 |
| 4 | 231003202320 |
| 5 | 11010423000 |
| 6 | 1101052320 |
| 7 | 202251255 |
| oct | 55034270 |
| 9 | 24201573 |
| 10 | 11811000 |
| 11 | 6737863 |
| 12 | 3b570a0 |
| 13 | 25a6c76 |
| 14 | 17d642c |
| 15 | 1084850 |
| hex | b438b8 |
11811000 has 128 divisors (see below), whose sum is σ = 38338560. Its totient is φ = 3024000.
The previous prime is 11810999. The next prime is 11811001. The reversal of 11811000 is 11811.
It is a happy number.
It is an interprime number because it is at equal distance from previous prime (11810999) and next prime (11811001).
It is a Harshad number since it is a multiple of its sum of digits (12).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (11811001) by changing a digit.
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, 92937 + ... + 93063.
It is an arithmetic number, because the mean of its divisors is an integer number (299520).
Almost surely, 211811000 is an apocalyptic number.
11811000 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 11811000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19169280).
11811000 is an abundant number, since it is smaller than the sum of its proper divisors (26527560).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
11811000 is a wasteful number, since it uses less digits than its factorization.
11811000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 182 (or 168 counting only the distinct ones).
The product of its (nonzero) digits is 8, while the sum is 12.
The square root of 11811000 is about 3436.7135463987. The cubic root of 11811000 is about 227.7345325176.
Adding to 11811000 its reverse (11811), we get a palindrome (11822811).
11811000 divided by its reverse (11811) gives a cube (1000 = 103).
The spelling of 11811000 in words is "eleven million, eight hundred eleven thousand".
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