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11254336 = 26414289
BaseRepresentation
bin101010111011…
…101001000000
3210011210001021
4222323221000
510340114321
61041115224
7164442322
oct52735100
923153037
1011254336
116397605
123928b14
132440792
1416cd612
15ec4941
hexabba40

11254336 has 28 divisors (see below), whose sum is σ = 22882860. Its totient is φ = 5488640.

The previous prime is 11254303. The next prime is 11254339. The reversal of 11254336 is 63345211.

It can be written as a sum of positive squares in 2 ways, for example, as 5494336 + 5760000 = 2344^2 + 2400^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 11254336.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11254339) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 480 + ... + 4768.

It is an arithmetic number, because the mean of its divisors is an integer number (817245).

Almost surely, 211254336 is an apocalyptic number.

11254336 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 11254336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11441430).

11254336 is an abundant number, since it is smaller than the sum of its proper divisors (11628524).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11254336 is an equidigital number, since it uses as much as digits as its factorization.

11254336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4342 (or 4332 counting only the distinct ones).

The product of its digits is 2160, while the sum is 25.

The square root of 11254336 is about 3354.7482766968. The cubic root of 11254336 is about 224.0990208465.

Adding to 11254336 its reverse (63345211), we get a palindrome (74599547).

The spelling of 11254336 in words is "eleven million, two hundred fifty-four thousand, three hundred thirty-six".

Divisors: 1 2 4 8 16 32 41 64 82 164 328 656 1312 2624 4289 8578 17156 34312 68624 137248 175849 274496 351698 703396 1406792 2813584 5627168 11254336