12972960
12,972,960 is an even composite number composed of six prime numbers multiplied together.
12972960 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 12972960:
25 × 34 × 5 × 7 × 11 × 13
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 7 × 11 × 13)See below for interesting mathematical facts about the number 12972960 from the Numbermatics database.
Names of 12972960
- Cardinal: 12972960 can be written as Twelve million, nine hundred seventy-two thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 1.297296 × 107
Factors of 12972960
Divisors of 12972960
- Number of divisors d(n): 480
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 18 20 21 22 24 26 27 28 30 32 33 35 36 39 40 42 44 45 48 52 54 55 56 60 63 65 66 70 72 77 78 80 81 84 88 90 91 96 99 104 105 108 110 112 117 120 126 130 132 135 140 143 144 154 156 160 162 165 168 176 180 182 189 195 198 208 210 216 220 224 231 234 240 252 260 264 270 273 280 286 288 297 308 312 315 324 330 336 351 352 360 364 378 385 390 396 405 416 420 429 432 440 455 462 468 480 495 504 520 528 540 546 560 567 572 585 594 616 624 630 648 660 672 693 702 715 720 728 756 770 780 792 810 819 840 858 864 880 891 910 924 936 945 990 1001 1008 1040 1053 1056 1080 1092 1120 1134 1144 1155 1170 1188 1232 1248 1260 1287 1296 1320 1365 1386 1404 1430 1440 1456 1485 1512 1540 1560 1584 1620 1638 1680 1716 1755 1760 1782 1820 1848 1872 1890 1980 2002 2016 2079 2080 2106 2145 2160 2184 2268 2288 2310 2340 2376 2457 2464 2520 2574 2592 2640 2730 2772 2808 2835 2860 2912 2970 3003 3024 3080 3120 3168 3240 3276 3360 3432 3465 3510 3564 3640 3696 3744 3780 3861 3960 4004 4095 4158 4212 4290 4320 4368 4455 4536 4576 4620 4680 4752 4914 5005 5040 5148 5265 5280 5460 5544 5616 5670 5720 5940 6006 6048 6160 6237 6240 6435 6480 6552 6864 6930 7020 7128 7280 7371 7392 7560 7722 7920 8008 8190 8316 8424 8580 8736 8910 9009 9072 9240 9360 9504 9828 10010 10080 10296 10395 10530 10920 11088 11232 11340 11440 11583 11880 12012 12285 12320 12474 12870 12960 13104 13728 13860 14040 14256 14560 14742 15015 15120 15444 15840 16016 16380 16632 16848 17160 17820 18018 18144 18480 18720 19305 19656 20020 20592 20790 21060 21840 22176 22680 22880 23166 23760 24024 24570 24948 25740 26208 27027 27720 28080 28512 29484 30030 30240 30888 31185 32032 32760 33264 33696 34320 35640 36036 36855 36960 38610 39312 40040 41184 41580 42120 43680 45045 45360 46332 47520 48048 49140 49896 51480 54054 55440 56160 57915 58968 60060 61776 62370 65520 66528 68640 71280 72072 73710 77220 78624 80080 81081 83160 84240 90090 90720 92664 96096 98280 99792 102960 108108 110880 115830 117936 120120 123552 124740 131040 135135 142560 144144 147420 154440 160160 162162 166320 168480 180180 185328 196560 199584 205920 216216 231660 235872 240240 249480 270270 288288 294840 308880 324324 332640 360360 370656 393120 405405 432432 463320 480480 498960 540540 589680 617760 648648 720720 810810 864864 926640 997920 1081080 1179360 1297296 1441440 1621620 1853280 2162160 2594592 3243240 4324320 6486480 12972960
- Sum of all divisors σ(n): 61471872
- Sum of proper divisors (its aliquot sum) s(n): 48498912
- 12972960 is an abundant number, because the sum of its proper divisors (48498912) is greater than itself. Its abundance is 35525952
Bases of 12972960
- Binary: 1100010111110011101000002
- Hexadecimal: 0xC5F3A0
- Base-36: 7Q200
Squares and roots of 12972960
- 12972960 squared (129729602) is 168297691161600
- 12972960 cubed (129729603) is 2183319215531790336000
-
The
square root of 12972960 is 3601.7995502249 -
The
cube root of 12972960 is 234.9703297383
Scales and comparisons
How big is 12972960?- 12,972,960 seconds is equal to 21 weeks, 3 days, 3 hours, 36 minutes.
-
To count from 1 to 12,972,960 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 12972960 cubic inches would be around 19.6 feet tall.
Recreational maths with 12972960
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