Base | Representation |
---|---|
bin | 101101000110… |
… | …100000000000 |
3 | 211020200020202 |
4 | 231012200000 |
5 | 11011314404 |
6 | 1101224332 |
7 | 202331456 |
oct | 55064000 |
9 | 24220222 |
10 | 11823104 |
11 | 6745967 |
12 | 3b620a8 |
13 | 25ac627 |
14 | 17da9d6 |
15 | 108821e |
hex | b46800 |
11823104 has 48 divisors (see below), whose sum is σ = 24766560. Its totient is φ = 5632000.
The previous prime is 11823103. The next prime is 11823107. The reversal of 11823104 is 40132811.
It is not an unprimeable number, because it can be changed into a prime (11823103) 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 3 ways as a sum of consecutive naturals, for example, 46979 + ... + 47229.
It is an arithmetic number, because the mean of its divisors is an integer number (515970).
Almost surely, 211823104 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 11823104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12383280).
11823104 is an abundant number, since it is smaller than the sum of its proper divisors (12943456).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
11823104 is an equidigital number, since it uses as much as digits as its factorization.
11823104 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 296 (or 276 counting only the distinct ones).
The product of its (nonzero) digits is 192, while the sum is 20.
The square root of 11823104 is about 3438.4740801699. The cubic root of 11823104 is about 227.8123006346.
Adding to 11823104 its reverse (40132811), we get a palindrome (51955915).
It can be divided in two parts, 118 and 23104, that multiplied together give a palindrome (2726272).
The spelling of 11823104 in words is "eleven million, eight hundred twenty-three thousand, one hundred four".
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