Base | Representation |
---|---|
bin | 101010011101… |
… | …110101100000 |
3 | 202221120120210 |
4 | 222131311200 |
5 | 10322213011 |
6 | 1034334120 |
7 | 163423362 |
oct | 52356540 |
9 | 22846523 |
10 | 11132256 |
11 | 6313913 |
12 | 388a340 |
13 | 23ca045 |
14 | 169ad32 |
15 | e9d6a6 |
hex | a9dd60 |
11132256 has 48 divisors (see below), whose sum is σ = 29716848. Its totient is φ = 3648000.
The previous prime is 11132243. The next prime is 11132257. The reversal of 11132256 is 65223111.
11132256 is digitally balanced in base 2, because in such base 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 (48).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (11132257) by changing a digit.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4906 + ... + 6806.
It is an arithmetic number, because the mean of its divisors is an integer number (619101).
Almost surely, 211132256 is an apocalyptic number.
11132256 is a gapful number since it is divisible by the number (16) 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 11132256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14858424).
11132256 is an abundant number, since it is smaller than the sum of its proper divisors (18584592).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
11132256 is a wasteful number, since it uses less digits than its factorization.
11132256 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1975 (or 1967 counting only the distinct ones).
The product of its digits is 360, while the sum is 21.
The square root of 11132256 is about 3336.5035591169. The cubic root of 11132256 is about 223.2857778500.
Adding to 11132256 its reverse (65223111), we get a palindrome (76355367).
The spelling of 11132256 in words is "eleven million, one hundred thirty-two thousand, two hundred fifty-six".
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