Base | Representation |
---|---|
bin | 101100010100… |
… | …000000000000 |
3 | 210212011111201 |
4 | 230110000000 |
5 | 10433210011 |
6 | 1052550544 |
7 | 200510431 |
oct | 54240000 |
9 | 23764451 |
10 | 11616256 |
11 | 6614513 |
12 | 3a82454 |
13 | 2539432 |
14 | 1785488 |
15 | 1046cc1 |
hex | b14000 |
11616256 has 30 divisors (see below), whose sum is σ = 23264570. Its totient is φ = 5799936.
The previous prime is 11616251. The next prime is 11616263. The reversal of 11616256 is 65261611.
It can be written as a sum of positive squares in only one way, i.e., 7929856 + 3686400 = 2816^2 + 1920^2 .
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (11616251) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (5) of ones.
It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16030 + ... + 16738.
Almost surely, 211616256 is an apocalyptic number.
11616256 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 11616256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11632285).
11616256 is an abundant number, since it is smaller than the sum of its proper divisors (11648314).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
11616256 is an frugal number, since it uses more digits than its factorization.
11616256 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 737 (or 711 counting only the distinct ones).
The product of its digits is 2160, while the sum is 28.
The square root of 11616256 is about 3408.2629006578. The cubic root of 11616256 is about 226.4759333586.
Adding to 11616256 its reverse (65261611), we get a palindrome (76877867).
The spelling of 11616256 in words is "eleven million, six hundred sixteen thousand, two hundred fifty-six".
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