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11208 = 233467
BaseRepresentation
bin10101111001000
3120101010
42233020
5324313
6123520
744451
oct25710
916333
1011208
11846a
1265a0
135142
144128
1534c3
hex2bc8

11208 has 16 divisors (see below), whose sum is σ = 28080. Its totient is φ = 3728.

The previous prime is 11197. The next prime is 11213. The reversal of 11208 is 80211.

It is a happy number.

11208 is digitally balanced in base 2, 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 (12).

It is a junction number, because it is equal to n+sod(n) for n = 11193 and 11202.

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 in 3 ways as a sum of consecutive naturals, for example, 210 + ... + 257.

It is an arithmetic number, because the mean of its divisors is an integer number (1755).

211208 is an apocalyptic number.

It is an amenable number.

11208 is an abundant number, since it is smaller than the sum of its proper divisors (16872).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14040).

11208 is a wasteful number, since it uses less digits than its factorization.

11208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 11208 is about 105.8678421429. The cubic root of 11208 is about 22.3791046640.

Adding to 11208 its reverse (80211), we get a palindrome (91419).

It can be divided in two parts, 1120 and 8, that added together give a triangular number (1128 = T47).

The spelling of 11208 in words is "eleven thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 24 467 934 1401 1868 2802 3736 5604 11208