13749120
13,749,120 is an even composite number composed of six prime numbers multiplied together.
13749120 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 13749120:
27 × 32 × 5 × 7 × 11 × 31
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 7 × 11 × 31)See below for interesting mathematical facts about the number 13749120 from the Numbermatics database.
Names of 13749120
- Cardinal: 13749120 can be written as Thirteen million, seven hundred forty-nine thousand, one hundred twenty.
Scientific notation
- Scientific notation: 1.374912 × 107
Factors of 13749120
Divisors of 13749120
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 11 12 14 15 16 18 20 21 22 24 28 30 31 32 33 35 36 40 42 44 45 48 55 56 60 62 63 64 66 70 72 77 80 84 88 90 93 96 99 105 110 112 120 124 126 128 132 140 144 154 155 160 165 168 176 180 186 192 198 210 217 220 224 231 240 248 252 264 279 280 288 308 310 315 320 330 336 341 352 360 372 384 385 396 420 434 440 448 462 465 480 495 496 504 528 558 560 576 616 620 630 640 651 660 672 682 693 704 720 744 770 792 840 868 880 896 924 930 960 990 992 1008 1023 1056 1085 1116 1120 1152 1155 1232 1240 1260 1302 1320 1344 1364 1386 1395 1408 1440 1488 1540 1584 1680 1705 1736 1760 1848 1860 1920 1953 1980 1984 2016 2046 2112 2170 2232 2240 2310 2387 2464 2480 2520 2604 2640 2688 2728 2772 2790 2880 2976 3069 3080 3168 3255 3360 3410 3465 3472 3520 3696 3720 3906 3960 3968 4032 4092 4224 4340 4464 4480 4620 4774 4928 4960 5040 5115 5208 5280 5456 5544 5580 5760 5952 6138 6160 6336 6510 6720 6820 6930 6944 7040 7161 7392 7440 7812 7920 8064 8184 8680 8928 9240 9548 9765 9856 9920 10080 10230 10416 10560 10912 11088 11160 11904 11935 12276 12320 12672 13020 13440 13640 13860 13888 14322 14784 14880 15345 15624 15840 16368 17360 17856 18480 19096 19530 19840 20160 20460 20832 21120 21483 21824 22176 22320 23870 24552 24640 26040 27280 27720 27776 28644 29568 29760 30690 31248 31680 32736 34720 35712 35805 36960 38192 39060 40320 40920 41664 42966 43648 44352 44640 47740 49104 49280 52080 54560 55440 57288 59520 61380 62496 63360 65472 69440 71610 73920 76384 78120 81840 83328 85932 88704 89280 95480 98208 104160 107415 109120 110880 114576 122760 124992 130944 138880 143220 147840 152768 156240 163680 171864 178560 190960 196416 208320 214830 218240 221760 229152 245520 249984 286440 305536 312480 327360 343728 381920 392832 416640 429660 443520 458304 491040 572880 624960 654720 687456 763840 859320 916608 982080 1145760 1249920 1374912 1527680 1718640 1964160 2291520 2749824 3437280 4583040 6874560 13749120
- Sum of all divisors σ(n): 61102080
- Sum of proper divisors (its aliquot sum) s(n): 47352960
- 13749120 is an abundant number, because the sum of its proper divisors (47352960) is greater than itself. Its abundance is 33603840
Bases of 13749120
- Binary: 1101000111001011100000002
- Hexadecimal: 0xD1CB80
- Base-36: 86OW0
Squares and roots of 13749120
- 13749120 squared (137491202) is 189038300774400
- 13749120 cubed (137491203) is 2599110281943318528000
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The
square root of 13749120 is 3707.9805824733 -
The
cube root of 13749120 is 239.5658818963
Scales and comparisons
How big is 13749120?- 13,749,120 seconds is equal to 22 weeks, 5 days, 3 hours, 12 minutes.
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To count from 1 to 13,749,120 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 13749120 cubic inches would be around 20 feet tall.
Recreational maths with 13749120
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