10440

10,440 is an even composite number composed of four prime numbers multiplied together.

What does the number 10440 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 48 divisors.

10440 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of forty-eight divisors.

Prime factorization of 10440:

2³ × 3² × 5 × 29

(2 × 2 × 2 × 3 × 3 × 5 × 29)

See below for interesting mathematical facts about the number 10440 from the Numbermatics database.

Names of 10440

Cardinal: 10440 can be written as Ten thousand, four hundred forty.

Scientific notation

Scientific notation: 1.044 × 10⁴

Factors of 10440

Number of distinct prime factors ω(n): 4
Total number of prime factors Ω(n): 7
Sum of prime factors: 39

Divisors of 10440

Number of divisors d(n): 48
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 18 20 24 29 30 36 40 45 58 60 72 87 90 116 120 145 174 180 232 261 290 348 360 435 522 580 696 870 1044 1160 1305 1740 2088 2610 3480 5220 10440
Sum of all divisors σ(n): 35100
Sum of proper divisors (its aliquot sum) s(n): 24660
10440 is an abundant number, because the sum of its proper divisors (24660) is greater than itself. Its abundance is 14220

Bases of 10440

Binary: 10100011001000₂
Hexadecimal: 0x28C8
Base-36: 820

Squares and roots of 10440

10440 squared (10440²) is 108993600
10440 cubed (10440³) is 1137893184000
The square root of 10440 is 102.1763181955
The cube root of 10440 is 21.8558062931

Scales and comparisons

How big is 10440?

10,440 seconds is equal to 2 hours, 54 minutes.
To count from 1 to 10,440 would take you about two 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 10440 cubic inches would be around 1.8 feet tall.

Recreational maths with 10440

10440 backwards is 04401
10440 is a Harshad number.
The number of decimal digits it has is: 5
The sum of 10440's digits is 9
More coming soon!

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The information we have on file for 10440 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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