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11268 = 2232313
BaseRepresentation
bin10110000000100
3120110100
42300010
5330033
6124100
744565
oct26004
916410
1011268
118514
126630
13518a
14416c
153513
hex2c04

11268 has 18 divisors (see below), whose sum is σ = 28574. Its totient is φ = 3744.

The previous prime is 11261. The next prime is 11273. The reversal of 11268 is 86211.

11268 is nontrivially palindromic in base 5.

It can be written as a sum of positive squares in only one way, i.e., 6084 + 5184 = 78^2 + 72^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a plaindrome in base 10.

It is a nialpdrome in base 12.

It is a zygodrome in base 5.

It is a self number, because there is not a number n which added to its sum of digits gives 11268.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11261) by changing a digit.

11268 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 121 + ... + 192.

11268 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

11268 is an abundant number, since it is smaller than the sum of its proper divisors (17306).

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

11268 is a wasteful number, since it uses less digits than its factorization.

11268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 318 counting only the distinct ones).

The product of its digits is 96, while the sum is 18.

The square root of 11268 is about 106.1508360777. The cubic root of 11268 is about 22.4189677775.

11268 divided by its sum of digits (18) gives a palindrome (626).

Adding to 11268 its reverse (86211), we get a palindrome (97479).

The spelling of 11268 in words is "eleven thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 313 626 939 1252 1878 2817 3756 5634 11268