13345200
13,345,200 is an even composite number composed of five prime numbers multiplied together.
13345200 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred eighty divisors.
Prime factorization of 13345200:
24 × 32 × 52 × 11 × 337
(2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 11 × 337)See below for interesting mathematical facts about the number 13345200 from the Numbermatics database.
Names of 13345200
- Cardinal: 13345200 can be written as Thirteen million, three hundred forty-five thousand, two hundred.
Scientific notation
- Scientific notation: 1.33452 × 107
Factors of 13345200
Divisors of 13345200
- Number of divisors d(n): 180
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 25 30 33 36 40 44 45 48 50 55 60 66 72 75 80 88 90 99 100 110 120 132 144 150 165 176 180 198 200 220 225 240 264 275 300 330 337 360 396 400 440 450 495 528 550 600 660 674 720 792 825 880 900 990 1011 1100 1200 1320 1348 1584 1650 1685 1800 1980 2022 2200 2475 2640 2696 3033 3300 3370 3600 3707 3960 4044 4400 4950 5055 5392 6066 6600 6740 7414 7920 8088 8425 9900 10110 11121 12132 13200 13480 14828 15165 16176 16850 18535 19800 20220 22242 24264 25275 26960 29656 30330 33363 33700 37070 39600 40440 44484 48528 50550 55605 59312 60660 66726 67400 74140 75825 80880 88968 92675 101100 111210 121320 133452 134800 148280 151650 166815 177936 185350 202200 222420 242640 266904 278025 296560 303300 333630 370700 404400 444840 533808 556050 606600 667260 741400 834075 889680 1112100 1213200 1334520 1482800 1668150 2224200 2669040 3336300 4448400 6672600 13345200
- Sum of all divisors σ(n): 50671608
- Sum of proper divisors (its aliquot sum) s(n): 37326408
- 13345200 is an abundant number, because the sum of its proper divisors (37326408) is greater than itself. Its abundance is 23981208
Bases of 13345200
- Binary: 1100101110100001101100002
- Hexadecimal: 0xCBA1B0
- Base-36: 7Y180
Squares and roots of 13345200
- 13345200 squared (133452002) is 178094363040000
- 13345200 cubed (133452003) is 2376704893641408000000
-
The
square root of 13345200 is 3653.1082655733 -
The
cube root of 13345200 is 237.1965468853
Scales and comparisons
How big is 13345200?- 13,345,200 seconds is equal to 22 weeks, 11 hours.
-
To count from 1 to 13,345,200 would take you about thirty-three 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 13345200 cubic inches would be around 19.8 feet tall.
Recreational maths with 13345200
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