13829760
13,829,760 is an even composite number composed of four prime numbers multiplied together.
13829760 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of two hundred forty divisors.
Prime factorization of 13829760:
27 × 32 × 5 × 74
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 7 × 7 × 7 × 7)See below for interesting mathematical facts about the number 13829760 from the Numbermatics database.
Names of 13829760
- Cardinal: 13829760 can be written as Thirteen million, eight hundred twenty-nine thousand, seven hundred sixty.
Scientific notation
- Scientific notation: 1.382976 × 107
Factors of 13829760
Divisors of 13829760
- Number of divisors d(n): 240
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 32 35 36 40 42 45 48 49 56 60 63 64 70 72 80 84 90 96 98 105 112 120 126 128 140 144 147 160 168 180 192 196 210 224 240 245 252 280 288 294 315 320 336 343 360 384 392 420 441 448 480 490 504 560 576 588 630 640 672 686 720 735 784 840 882 896 960 980 1008 1029 1120 1152 1176 1260 1344 1372 1440 1470 1568 1680 1715 1764 1920 1960 2016 2058 2205 2240 2352 2401 2520 2688 2744 2880 2940 3087 3136 3360 3430 3528 3920 4032 4116 4410 4480 4704 4802 5040 5145 5488 5760 5880 6174 6272 6720 6860 7056 7203 7840 8064 8232 8820 9408 9604 10080 10290 10976 11760 12005 12348 13440 13720 14112 14406 15435 15680 16464 17640 18816 19208 20160 20580 21609 21952 23520 24010 24696 27440 28224 28812 30870 31360 32928 35280 36015 38416 40320 41160 43218 43904 47040 48020 49392 54880 56448 57624 61740 65856 70560 72030 76832 82320 86436 94080 96040 98784 108045 109760 115248 123480 131712 141120 144060 153664 164640 172872 192080 197568 216090 219520 230496 246960 282240 288120 307328 329280 345744 384160 395136 432180 460992 493920 576240 658560 691488 768320 864360 921984 987840 1152480 1382976 1536640 1728720 1975680 2304960 2765952 3457440 4609920 6914880 13829760
- Sum of all divisors σ(n): 55711890
- Sum of proper divisors (its aliquot sum) s(n): 41882130
- 13829760 is an abundant number, because the sum of its proper divisors (41882130) is greater than itself. Its abundance is 28052370
Bases of 13829760
- Binary: 1101001100000110100000002
- Hexadecimal: 0xD30680
- Base-36: 88F40
Squares and roots of 13829760
- 13829760 squared (138297602) is 191262261657600
- 13829760 cubed (138297603) is 2645111175781810176000
-
The
square root of 13829760 is 3718.8385283581 -
The
cube root of 13829760 is 240.0333287045
Scales and comparisons
How big is 13829760?- 13,829,760 seconds is equal to 22 weeks, 6 days, 1 hour, 36 minutes.
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To count from 1 to 13,829,760 would take you about thirty-four 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 13829760 cubic inches would be around 20 feet tall.
Recreational maths with 13829760
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