966400

966,400 is an even composite number composed of three prime numbers multiplied together.

What does the number 966400 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 54 divisors.

966400 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of fifty-four divisors.

Prime factorization of 966400:

2⁸ × 5² × 151

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 151)

See below for interesting mathematical facts about the number 966400 from the Numbermatics database.

Names of 966400

Cardinal: 966400 can be written as Nine hundred sixty-six thousand, four hundred.

Scientific notation

Scientific notation: 9.664 × 10⁵

Factors of 966400

Number of distinct prime factors ω(n): 3
Total number of prime factors Ω(n): 11
Sum of prime factors: 158

Divisors of 966400

Number of divisors d(n): 54
Complete list of divisors:
1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 151 160 200 256 302 320 400 604 640 755 800 1208 1280 1510 1600 2416 3020 3200 3775 4832 6040 6400 7550 9664 12080 15100 19328 24160 30200 38656 48320 60400 96640 120800 193280 241600 483200 966400
Sum of all divisors σ(n): 2407832
Sum of proper divisors (its aliquot sum) s(n): 1441432
966400 is an abundant number, because the sum of its proper divisors (1441432) is greater than itself. Its abundance is 475032

Bases of 966400

Binary: 11101011111100000000₂
Hexadecimal: 0xEBF00
Base-36: KPOG

Squares and roots of 966400

966400 squared (966400²) is 933928960000
966400 cubed (966400³) is 902548946944000000
The square root of 966400 is 983.0564581955
The cube root of 966400 is 98.8672164675

Scales and comparisons

How big is 966400?

966,400 seconds is equal to 1 week, 4 days, 4 hours, 26 minutes, 40 seconds.
To count from 1 to 966,400 would take you about four days!

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 966400 cubic inches would be around 8.2 feet tall.

Recreational maths with 966400

966400 backwards is 004669
966400 is a Harshad number.
The number of decimal digits it has is: 6
The sum of 966400's digits is 25
More coming soon!

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The information we have on file for 966400 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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