Base | Representation |
---|---|
bin | 101010010101… |
… | …111101100000 |
3 | 202212221100010 |
4 | 222111331200 |
5 | 10320200000 |
6 | 1033524520 |
7 | 163230342 |
oct | 52257540 |
9 | 22787303 |
10 | 11100000 |
11 | 62a165a |
12 | 3873740 |
13 | 23b8462 |
14 | 168d292 |
15 | e93d50 |
hex | a95f60 |
11100000 has 144 divisors (see below), whose sum is σ = 37403856. Its totient is φ = 2880000.
The previous prime is 11099999. The next prime is 11100013. The reversal of 11100000 is 111.
11100000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (3).
It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.
It is a nialpdrome in base 10.
It is a zygodrome in base 10.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 299982 + ... + 300018.
It is an arithmetic number, because the mean of its divisors is an integer number (259749).
Almost surely, 211100000 is an apocalyptic number.
11100000 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 11100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18701928).
11100000 is an abundant number, since it is smaller than the sum of its proper divisors (26303856).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
11100000 is an frugal number, since it uses more digits than its factorization.
11100000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 75 (or 47 counting only the distinct ones).
The product of its (nonzero) digits is 1, while the sum is 3.
The square root of 11100000 is about 3331.6662497915. Note that the first 3 decimals coincide. The cubic root of 11100000 is about 223.0699104476.
Adding to 11100000 its reverse (111), we get a palindrome (11100111).
11100000 divided by its reverse (111) gives a 5-th power (100000 = 105).
The spelling of 11100000 in words is "eleven million, one hundred thousand".
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