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11286 = 2331119
BaseRepresentation
bin10110000010110
3120111000
42300112
5330121
6124130
744622
oct26026
916430
1011286
118530
126646
1351a2
144182
153526
hex2c16

11286 has 32 divisors (see below), whose sum is σ = 28800. Its totient is φ = 3240.

The previous prime is 11279. The next prime is 11287. The reversal of 11286 is 68211.

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

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 (11287) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 585 + ... + 603.

It is an arithmetic number, because the mean of its divisors is an integer number (900).

211286 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11286, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14400).

11286 is an abundant number, since it is smaller than the sum of its proper divisors (17514).

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

11286 is a wasteful number, since it uses less digits than its factorization.

11286 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41 (or 35 counting only the distinct ones).

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

The square root of 11286 is about 106.2355872578. The cubic root of 11286 is about 22.4308991091.

Adding to 11286 its reverse (68211), we get a palindrome (79497).

The spelling of 11286 in words is "eleven thousand, two hundred eighty-six".

Divisors: 1 2 3 6 9 11 18 19 22 27 33 38 54 57 66 99 114 171 198 209 297 342 418 513 594 627 1026 1254 1881 3762 5643 11286