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BaseRepresentation
bin10010010000
31121021
4102100
514133
65224
73256
oct2220
91537
101168
11972
12814
136bb
145d6
1552d
hex490

1168 has 10 divisors (see below), whose sum is σ = 2294. Its totient is φ = 576.

The previous prime is 1163. The next prime is 1171. The reversal of 1168 is 8611.

Adding to 1168 its reverse (8611), we get a palindrome (9779).

It can be divided in two parts, 1 and 168, that added together give a square (169 = 132).

It can be written as a sum of positive squares in only one way, i.e., 1024 + 144 = 32^2 + 12^2 .

It is a super-4 number, since 4×11684 = 7444428488704, which contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16), and also a Moran number because the ratio is a prime number: 73 = 1168 / (1 + 1 + 6 + 8).

It is a plaindrome in base 10 and base 13.

It is a nialpdrome in base 8 and base 11.

It is not an unprimeable number, because it can be changed into a prime (1163) by changing a digit.

1168 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21 + ... + 52.

It is an amenable number.

1168 is a deficient number, since it is larger than the sum of its proper divisors (1126).

1168 is an equidigital number, since it uses as much as digits as its factorization.

1168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 75 counting only the distinct ones).

The product of its digits is 48, while the sum is 16.

The square root of 1168 is about 34.1760149813. The cubic root of 1168 is about 10.5312748563.

The spelling of 1168 in words is "one thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 16 73 146 292 584 1168