11204 has 6 divisors (see below), whose sum is σ = 19614. Its totient is φ = 5600.

The previous prime is 11197. The next prime is 11213. The reversal of 11204 is 40211.

11204 is nontrivially palindromic in base 7.

11204 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 9604 + 1600 = 98^2 + 40^2 .

11204 is a nontrivial repdigit in base 7.

It is a plaindrome in base 7 and base 15.

It is a nialpdrome in base 7.

It is a zygodrome in base 7.

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 11191 and 11200.

It is an unprimeable 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 as a sum of consecutive naturals, namely, 1397 + ... + 1404.

It is an arithmetic number, because the mean of its divisors is an integer number (3269).

2^{11204} is an apocalyptic number.

It is an amenable number.

11204 is a deficient number, since it is larger than the sum of its proper divisors (8410).

11204 is a wasteful number, since it uses less digits than its factorization.

11204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2805 (or 2803 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 11204 is about 105.8489489792. The cubic root of 11204 is about 22.3764420697.

Adding to 11204 its reverse (40211), we get a palindrome (51415).

The spelling of 11204 in words is "eleven thousand, two hundred four", and thus it is an iban number.

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