11200 has 42 divisors (see below), whose sum is σ = 31496. Its totient is φ = 3840.

The previous prime is 11197. The next prime is 11213. The reversal of 11200 is 211.

11200 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (4).

11200 is strictly pandigital in base 6.

It is a nialpdrome in base 7.

It is a zygodrome in base 4.

It is a self number, because there is not a number *n* which added to its sum of digits gives 11200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1597 + ... + 1603.

2^{11200} is an apocalyptic number.

11200 is a gapful number since it is divisible by the number (10) 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 11200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15748).

11200 is an abundant number, since it is smaller than the sum of its proper divisors (20296).

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

11200 is an equidigital number, since it uses as much as digits as its factorization.

11200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29 (or 14 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 4.

The square root of 11200 is about 105.8300524426. The cubic root of 11200 is about 22.3737788416.

Adding to 11200 its reverse (211), we get a palindrome (11411).

The spelling of 11200 in words is "eleven thousand, two hundred", and thus it is an iban number.

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 80 100 112 140 160 175 200 224 280 320 350 400 448 560 700 800 1120 1400 1600 2240 2800 5600 11200

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