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1188 = 223311
BaseRepresentation
bin10010100100
31122000
4102210
514223
65300
73315
oct2244
91560
101188
11990
12830
13705
1460c
15543
hex4a4

1188 has 24 divisors (see below), whose sum is σ = 3360. Its totient is φ = 360.

The previous prime is 1187. The next prime is 1193. The reversal of 1188 is 8811.

1188 divided by its sum of digits (18) gives a palindrome (66).

Adding to 1188 its reverse (8811), we get a palindrome (9999).

It can be divided in two parts, 11 and 88, that added together give a palindrome (99).

It is a happy number.

1188 is nontrivially palindromic in base 16.

1188 is an esthetic number in base 15, because in such base its adjacent digits differ by 1.

It is a super-2 number, since 2×11882 = 2822688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

1188 is an undulating number in base 16.

Its product of digits (64) is a multiple of the sum of its prime divisors (16).

It is a plaindrome in base 8 and base 10.

It is a nialpdrome in base 6, base 11, base 12 and base 15.

It is a zygodrome in base 3, base 8 and base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 1188.

It is not an unprimeable number, because it can be changed into a prime (1181) 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, 103 + ... + 113.

It is an arithmetic number, because the mean of its divisors is an integer number (140).

1188 is a gapful number since it is divisible by the number (18) 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 1188, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1680).

1188 is an abundant number, since it is smaller than the sum of its proper divisors (2172).

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

1188 is a wasteful number, since it uses less digits than its factorization.

1188 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24 (or 16 counting only the distinct ones).

The product of its digits is 64, while the sum is 18.

The square root of 1188 is about 34.4673758792. The cubic root of 1188 is about 10.5910450060.

The spelling of 1188 in words is "one thousand, one hundred eighty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 594 1188