13440

13,440 is an even composite number composed of four prime numbers multiplied together.

What does the number 13440 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 64 divisors.

13440 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of sixty-four divisors.

Prime factorization of 13440:

2⁷ × 3 × 5 × 7

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 7)

See below for interesting mathematical facts about the number 13440 from the Numbermatics database.

Names of 13440

Cardinal: 13440 can be written as Thirteen thousand, four hundred forty.

Scientific notation

Scientific notation: 1.344 × 10⁴

Factors of 13440

Number of distinct prime factors ω(n): 4
Total number of prime factors Ω(n): 10
Sum of prime factors: 17

Divisors of 13440

Number of divisors d(n): 64
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 128 140 160 168 192 210 224 240 280 320 336 384 420 448 480 560 640 672 840 896 960 1120 1344 1680 1920 2240 2688 3360 4480 6720 13440
Sum of all divisors σ(n): 48960
Sum of proper divisors (its aliquot sum) s(n): 35520
13440 is an abundant number, because the sum of its proper divisors (35520) is greater than itself. Its abundance is 22080

Bases of 13440

Binary: 11010010000000₂
Hexadecimal: 0x3480
Base-36: ADC

Squares and roots of 13440

13440 squared (13440²) is 180633600
13440 cubed (13440³) is 2427715584000
The square root of 13440 is 115.9310139695
The cube root of 13440 is 23.7756878111

Scales and comparisons

How big is 13440?

13,440 seconds is equal to 3 hours, 44 minutes.
To count from 1 to 13,440 would take you about three hours.

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 13440 cubic inches would be around 2 feet tall.

Recreational maths with 13440

13440 backwards is 04431
13440 is a Harshad number.
The number of decimal digits it has is: 5
The sum of 13440's digits is 12
More coming soon!

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The information we have on file for 13440 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!

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