1188

1,188 is an even composite number composed of three prime numbers multiplied together.

What does the number 1188 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 24 divisors.

1188 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of twenty-four divisors.

Prime factorization of 1188:

22 × 33 × 11

(2 × 2 × 3 × 3 × 3 × 11)

See below for interesting mathematical facts about the number 1188 from the Numbermatics database.

Names of 1188

• Cardinal: 1188 can be written as One thousand, one hundred eighty-eight.

Scientific notation

• Scientific notation: 1.188 × 103

Factors of 1188

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 6
• Sum of prime factors: 16

Divisors of 1188

• Number of divisors d(n): 24
• Complete list of divisors:
• Sum of all divisors σ(n): 3360
• Sum of proper divisors (its aliquot sum) s(n): 2172
• 1188 is an abundant number, because the sum of its proper divisors (2172) is greater than itself. Its abundance is 984

Bases of 1188

• Binary: 100101001002
• Base-36: X0

Squares and roots of 1188

• 1188 squared (11882) is 1411344
• 1188 cubed (11883) is 1676676672
• The square root of 1188 is 34.4673758793
• The cube root of 1188 is 10.5910450059

Scales and comparisons

How big is 1188?
• 1,188 seconds is equal to 19 minutes, 48 seconds.
• To count from 1 to 1,188 would take you about nineteen minutes.

This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)

• A cube with a volume of 1188 cubic inches would be around 0.9 feet tall.

Recreational maths with 1188

• 1188 backwards is 8811
• 1188 is a Harshad number.
• The number of decimal digits it has is: 4
• The sum of 1188's digits is 18
• More coming soon!

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