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11046 = 237263

11046 has 16 divisors (see below), whose sum is σ = 25344. Its totient is φ = 3144.

The previous prime is 11027. The next prime is 11047. The reversal of 11046 is 64011.

11046 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a nialpdrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11047) by changing a digit.

11046 is an untouchable number, because it is not equal to the sum of proper divisors of any 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, 90 + ... + 173.

It is an arithmetic number, because the mean of its divisors is an integer number (1584).

211046 is an apocalyptic number.

11046 is an abundant number, since it is smaller than the sum of its proper divisors (14298).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12672).

11046 is a wasteful number, since it uses less digits than its factorization.

11046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275.

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 11046 is about 105.0999524262. The cubic root of 11046 is about 22.2707587270.

Adding to 11046 its reverse (64011), we get a palindrome (75057).

The spelling of 11046 in words is "eleven thousand, forty-six".

Divisors: 1 2 3 6 7 14 21 42 263 526 789 1578 1841 3682 5523 11046