Base | Representation |
---|---|
bin | 101101100010… |
… | …001000000000 |
3 | 211110102110120 |
4 | 231202020000 |
5 | 11023430011 |
6 | 1103500240 |
7 | 203312403 |
oct | 55421000 |
9 | 24412416 |
10 | 11936256 |
11 | 6812982 |
12 | 3bb7680 |
13 | 261bc97 |
14 | 1829d3a |
15 | 10aba06 |
hex | b62200 |
11936256 has 80 divisors (see below), whose sum is σ = 33554400. Its totient is φ = 3760128.
The previous prime is 11936233. The next prime is 11936269. The reversal of 11936256 is 65263911.
It is a happy number.
It is a nialpdrome in base 8 and base 16.
It is an unprimeable number.
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 7 ways as a sum of consecutive naturals, for example, 28980 + ... + 29388.
It is an arithmetic number, because the mean of its divisors is an integer number (419430).
Almost surely, 211936256 is an apocalyptic number.
11936256 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 11936256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16777200).
11936256 is an abundant number, since it is smaller than the sum of its proper divisors (21618144).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
11936256 is an equidigital number, since it uses as much as digits as its factorization.
11936256 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 449 (or 433 counting only the distinct ones).
The product of its digits is 9720, while the sum is 33.
The square root of 11936256 is about 3454.8887102192. Note that the first 3 decimals coincide. The cubic root of 11936256 is about 228.5367471190.
The spelling of 11936256 in words is "eleven million, nine hundred thirty-six thousand, two hundred fifty-six".
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