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11256 = 233767
BaseRepresentation
bin10101111111000
3120102220
42233320
5330011
6124040
744550
oct25770
916386
1011256
118503
126620
13517b
144160
153506
hex2bf8

11256 has 32 divisors (see below), whose sum is σ = 32640. Its totient is φ = 3168.

The previous prime is 11251. The next prime is 11257. The reversal of 11256 is 65211.

11256 = T49 + T50 + ... + T56.

It is an Ulam number.

It is a plaindrome in base 10.

It is a nialpdrome in base 12.

It is a zygodrome in base 5.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11251) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 135 + ... + 201.

It is an arithmetic number, because the mean of its divisors is an integer number (1020).

211256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16320).

11256 is an abundant number, since it is smaller than the sum of its proper divisors (21384).

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

11256 is a wasteful number, since it uses less digits than its factorization.

11256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 79 counting only the distinct ones).

The product of its digits is 60, while the sum is 15.

The square root of 11256 is about 106.0942976790. The cubic root of 11256 is about 22.4110064957.

Adding to 11256 its reverse (65211), we get a palindrome (76467).

The spelling of 11256 in words is "eleven thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 67 84 134 168 201 268 402 469 536 804 938 1407 1608 1876 2814 3752 5628 11256