13228800
13,228,800 is an even composite number composed of five prime numbers multiplied together.
13228800 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred sixteen divisors.
Prime factorization of 13228800:
28 × 3 × 52 × 13 × 53
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 13 × 53)See below for interesting mathematical facts about the number 13228800 from the Numbermatics database.
Names of 13228800
- Cardinal: 13228800 can be written as Thirteen million, two hundred twenty-eight thousand, eight hundred.
Scientific notation
- Scientific notation: 1.32288 × 107
Factors of 13228800
Divisors of 13228800
- Number of divisors d(n): 216
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 32 39 40 48 50 52 53 60 64 65 75 78 80 96 100 104 106 120 128 130 150 156 159 160 192 195 200 208 212 240 256 260 265 300 312 318 320 325 384 390 400 416 424 480 520 530 600 624 636 640 650 689 768 780 795 800 832 848 960 975 1040 1060 1200 1248 1272 1280 1300 1325 1378 1560 1590 1600 1664 1696 1920 1950 2067 2080 2120 2400 2496 2544 2600 2650 2756 3120 3180 3200 3328 3392 3445 3840 3900 3975 4134 4160 4240 4800 4992 5088 5200 5300 5512 6240 6360 6400 6784 6890 7800 7950 8268 8320 8480 9600 9984 10176 10335 10400 10600 11024 12480 12720 13568 13780 15600 15900 16536 16640 16960 17225 19200 20352 20670 20800 21200 22048 24960 25440 27560 31200 31800 33072 33920 34450 40704 41340 41600 42400 44096 49920 50880 51675 55120 62400 63600 66144 67840 68900 82680 83200 84800 88192 101760 103350 110240 124800 127200 132288 137800 165360 169600 176384 203520 206700 220480 249600 254400 264576 275600 330720 339200 413400 440960 508800 529152 551200 661440 826800 881920 1017600 1102400 1322880 1653600 2204800 2645760 3307200 4409600 6614400 13228800
- Sum of all divisors σ(n): 47903184
- Sum of proper divisors (its aliquot sum) s(n): 34674384
- 13228800 is an abundant number, because the sum of its proper divisors (34674384) is greater than itself. Its abundance is 21445584
Bases of 13228800
- Binary: 1100100111011011000000002
- Hexadecimal: 0xC9DB00
- Base-36: 7VJEO
Squares and roots of 13228800
- 13228800 squared (132288002) is 175001149440000
- 13228800 cubed (132288003) is 2315055205711872000000
-
The
square root of 13228800 is 3637.1417349341 -
The
cube root of 13228800 is 236.5049038967
Scales and comparisons
How big is 13228800?- 13,228,800 seconds is equal to 21 weeks, 6 days, 2 hours, 40 minutes.
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To count from 1 to 13,228,800 would take you about thirty-two 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 13228800 cubic inches would be around 19.7 feet tall.
Recreational maths with 13228800
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