673989120
673,989,120 is an even composite number composed of five prime numbers multiplied together.
673989120 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 673989120:
29 × 33 × 5 × 72 × 199
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 7 × 7 × 199)See below for interesting mathematical facts about the number 673989120 from the Numbermatics database.
Names of 673989120
- Cardinal: 673989120 can be written as Six hundred seventy-three million, nine hundred eighty-nine thousand, one hundred twenty.
Scientific notation
- Scientific notation: 6.7398912 × 108
Factors of 673989120
Divisors of 673989120
- Number of divisors d(n): 480
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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 27 28 30 32 35 36 40 42 45 48 49 54 56 60 63 64 70 72 80 84 90 96 98 105 108 112 120 126 128 135 140 144 147 160 168 180 189 192 196 199 210 216 224 240 245 252 256 270 280 288 294 315 320 336 360 378 384 392 398 420 432 441 448 480 490 504 512 540 560 576 588 597 630 640 672 720 735 756 768 784 796 840 864 882 896 945 960 980 995 1008 1080 1120 1152 1176 1194 1260 1280 1323 1344 1393 1440 1470 1512 1536 1568 1592 1680 1728 1764 1791 1792 1890 1920 1960 1990 2016 2160 2205 2240 2304 2352 2388 2520 2560 2646 2688 2786 2880 2940 2985 3024 3136 3184 3360 3456 3528 3582 3584 3780 3840 3920 3980 4032 4179 4320 4410 4480 4608 4704 4776 5040 5292 5373 5376 5572 5760 5880 5970 6048 6272 6368 6615 6720 6912 6965 7056 7164 7560 7680 7840 7960 8064 8358 8640 8820 8955 8960 9408 9552 9751 10080 10584 10746 10752 11144 11520 11760 11940 12096 12537 12544 12736 13230 13440 13824 13930 14112 14328 15120 15680 15920 16128 16716 17280 17640 17910 17920 18816 19104 19502 20160 20895 21168 21492 22288 23040 23520 23880 24192 25074 25088 25472 26460 26865 26880 27860 28224 28656 29253 30240 31360 31840 32256 33432 34560 35280 35820 37611 37632 38208 39004 40320 41790 42336 42984 44576 47040 47760 48384 48755 50148 50944 52920 53730 53760 55720 56448 57312 58506 60480 62685 62720 63680 66864 69120 70560 71640 75222 75264 76416 78008 80640 83580 84672 85968 87759 89152 94080 95520 96768 97510 100296 101888 105840 107460 111440 112896 114624 117012 120960 125370 125440 127360 133728 141120 143280 146265 150444 152832 156016 161280 167160 169344 171936 175518 178304 188055 188160 191040 195020 200592 211680 214920 222880 225792 229248 234024 241920 250740 254720 263277 267456 282240 286560 292530 300888 305664 312032 334320 338688 343872 351036 356608 376110 376320 382080 390040 401184 423360 429840 438795 445760 458496 468048 483840 501480 509440 526554 534912 564480 573120 585060 601776 624064 668640 677376 687744 702072 713216 752220 764160 780080 802368 846720 859680 877590 891520 916992 936096 1002960 1053108 1069824 1128960 1146240 1170120 1203552 1248128 1316385 1337280 1375488 1404144 1504440 1528320 1560160 1604736 1693440 1719360 1755180 1783040 1872192 2005920 2106216 2139648 2292480 2340240 2407104 2496256 2632770 2674560 2750976 2808288 3008880 3120320 3209472 3386880 3438720 3510360 3566080 3744384 4011840 4212432 4584960 4680480 4814208 4992512 5265540 5349120 5616576 6017760 6240640 6418944 6877440 7020720 7488768 8023680 8424864 9360960 9628416 10531080 10698240 11233152 12035520 12481280 13754880 14041440 14977536 16047360 16849728 18721920 19256832 21062160 22466304 24071040 24962560 28082880 32094720 33699456 37443840 42124320 44932608 48142080 56165760 67398912 74887680 84248640 96284160 112331520 134797824 168497280 224663040 336994560 673989120
- Sum of all divisors σ(n): 2798928000
- Sum of proper divisors (its aliquot sum) s(n): 2124938880
- 673989120 is an abundant number, because the sum of its proper divisors (2124938880) is greater than itself. Its abundance is 1450949760
Bases of 673989120
- Binary: 1010000010110001000010000000002
- Hexadecimal: 0x282C4200
- Base-36: B59XC0
Squares and roots of 673989120
- 673989120 squared (6739891202) is 454261333878374400
- 673989120 cubed (6739891203) is 306167196670711748886528000
-
The
square root of 673989120 is 25961.3004296781 -
The
cube root of 673989120 is 876.7672017853
Scales and comparisons
How big is 673989120?- 673,989,120 seconds is equal to 21 years, 22 weeks, 2 days, 19 hours, 12 minutes.
-
To count from 1 to 673,989,120 would take you about thirty-two years!
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 673989120 cubic inches would be around 73.1 feet tall.
Recreational maths with 673989120
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