105420480
105,420,480 is an even composite number composed of six prime numbers multiplied together.
What does the number 105420480 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 224 divisors.
105420480 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred twenty-four divisors.
Prime factorization of 105420480:
26 × 3 × 5 × 11 × 67 × 149
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 11 × 67 × 149)See below for interesting mathematical facts about the number 105420480 from the Numbermatics database.
Names of 105420480
- Cardinal: 105420480 can be written as One hundred five million, four hundred twenty thousand, four hundred eighty.
Scientific notation
- Scientific notation: 1.0542048 × 108
Factors of 105420480
Divisors of 105420480
- Number of divisors d(n): 224
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Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 67 80 88 96 110 120 132 134 149 160 165 176 192 201 220 240 264 268 298 320 330 335 352 402 440 447 480 528 536 596 660 670 704 737 745 804 880 894 960 1005 1056 1072 1192 1320 1340 1474 1490 1608 1639 1760 1788 2010 2112 2144 2211 2235 2384 2640 2680 2948 2980 3216 3278 3520 3576 3685 4020 4288 4422 4470 4768 4917 5280 5360 5896 5960 6432 6556 7152 7370 8040 8195 8844 8940 9536 9834 9983 10560 10720 11055 11792 11920 12864 13112 14304 14740 16080 16390 17688 17880 19668 19966 21440 22110 23584 23840 24585 26224 28608 29480 29949 32160 32780 35376 35760 39336 39932 44220 47168 47680 49170 49915 52448 58960 59898 64320 65560 70752 71520 78672 79864 88440 98340 99830 104896 109813 117920 119796 131120 141504 143040 149745 157344 159728 176880 196680 199660 219626 235840 239592 262240 299490 314688 319456 329439 353760 393360 399320 439252 479184 524480 549065 598980 638912 658878 707520 786720 798640 878504 958368 1098130 1197960 1317756 1573440 1597280 1647195 1757008 1916736 2196260 2395920 2635512 3194560 3294390 3514016 4392520 4791840 5271024 6588780 7028032 8785040 9583680 10542048 13177560 17570080 21084096 26355120 35140160 52710240 105420480
- Sum of all divisors σ(n): 373075200
- Sum of proper divisors (its aliquot sum) s(n): 267654720
- 105420480 is an abundant number, because the sum of its proper divisors (267654720) is greater than itself. Its abundance is 162234240
Bases of 105420480
- Binary: 1100100100010010110110000002
- Hexadecimal: 0x64896C0
- Base-36: 1QRIYO
Squares and roots of 105420480
- 105420480 squared (1054204802) is 11113477603430400
- 105420480 cubed (1054204803) is 1171588143422882414592000
-
The
square root of 105420480 is 10267.4475893477 -
The
cube root of 105420480 is 472.3983040285
Scales and comparisons
How big is 105420480?- 105,420,480 seconds is equal to 3 years, 18 weeks, 2 days, 3 hours, 28 minutes.
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To count from 1 to 105,420,480 would take you about five 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 105420480 cubic inches would be around 39.4 feet tall.
Recreational maths with 105420480
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