12766400
12,766,400 is an even composite number composed of four prime numbers multiplied together.
12766400 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of eighty-four divisors.
Prime factorization of 12766400:
26 × 52 × 79 × 101
(2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 79 × 101)See below for interesting mathematical facts about the number 12766400 from the Numbermatics database.
Names of 12766400
- Cardinal: 12766400 can be written as Twelve million, seven hundred sixty-six thousand, four hundred.
Scientific notation
- Scientific notation: 1.27664 × 107
Factors of 12766400
Divisors of 12766400
- Number of divisors d(n): 84
-
Complete list of divisors:
1 2 4 5 8 10 16 20 25 32 40 50 64 79 80 100 101 158 160 200 202 316 320 395 400 404 505 632 790 800 808 1010 1264 1580 1600 1616 1975 2020 2525 2528 3160 3232 3950 4040 5050 5056 6320 6464 7900 7979 8080 10100 12640 15800 15958 16160 20200 25280 31600 31916 32320 39895 40400 63200 63832 79790 80800 126400 127664 159580 161600 199475 255328 319160 398950 510656 638320 797900 1276640 1595800 2553280 3191600 6383200 12766400
- Sum of all divisors σ(n): 32125920
- Sum of proper divisors (its aliquot sum) s(n): 19359520
- 12766400 is an abundant number, because the sum of its proper divisors (19359520) is greater than itself. Its abundance is 6593120
Bases of 12766400
- Binary: 1100001011001100110000002
- Hexadecimal: 0xC2CCC0
- Base-36: 7LMM8
Squares and roots of 12766400
- 12766400 squared (127664002) is 162980968960000
- 12766400 cubed (127664003) is 2080680242130944000000
-
The
square root of 12766400 is 3573.0099356145 -
The
cube root of 12766400 is 233.7165584577
Scales and comparisons
How big is 12766400?- 12,766,400 seconds is equal to 21 weeks, 18 hours, 13 minutes, 20 seconds.
-
To count from 1 to 12,766,400 would take you about thirty-one weeks!
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 12766400 cubic inches would be around 19.5 feet tall.
Recreational maths with 12766400
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