120648000
120,648,000 is an even composite number composed of five prime numbers multiplied together.
120648000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred twenty-four divisors.
Prime factorization of 120648000:
26 × 3 × 53 × 11 × 457
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 11 × 457)See below for interesting mathematical facts about the number 120648000 from the Numbermatics database.
Names of 120648000
- Cardinal: 120648000 can be written as One hundred twenty million, six hundred forty-eight thousand.
Scientific notation
- Scientific notation: 1.20648 × 108
Factors of 120648000
Divisors of 120648000
- 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 25 30 32 33 40 44 48 50 55 60 64 66 75 80 88 96 100 110 120 125 132 150 160 165 176 192 200 220 240 250 264 275 300 320 330 352 375 400 440 457 480 500 528 550 600 660 704 750 800 825 880 914 960 1000 1056 1100 1200 1320 1371 1375 1500 1600 1650 1760 1828 2000 2112 2200 2285 2400 2640 2742 2750 3000 3300 3520 3656 4000 4125 4400 4570 4800 5027 5280 5484 5500 6000 6600 6855 7312 8000 8250 8800 9140 10054 10560 10968 11000 11425 12000 13200 13710 14624 15081 16500 17600 18280 20108 21936 22000 22850 24000 25135 26400 27420 29248 30162 33000 34275 36560 40216 43872 44000 45700 50270 52800 54840 57125 60324 66000 68550 73120 75405 80432 87744 88000 91400 100540 109680 114250 120648 125675 132000 137100 146240 150810 160864 171375 182800 201080 219360 228500 241296 251350 264000 274200 301620 321728 342750 365600 377025 402160 438720 457000 482592 502700 548400 603240 628375 685500 731200 754050 804320 914000 965184 1005400 1096800 1206480 1256750 1371000 1508100 1608640 1828000 1885125 2010800 2193600 2412960 2513500 2742000 3016200 3656000 3770250 4021600 4825920 5027000 5484000 6032400 7540500 8043200 10054000 10968000 12064800 15081000 20108000 24129600 30162000 40216000 60324000 120648000
- Sum of all divisors σ(n): 435547008
- Sum of proper divisors (its aliquot sum) s(n): 314899008
- 120648000 is an abundant number, because the sum of its proper divisors (314899008) is greater than itself. Its abundance is 194251008
Bases of 120648000
- Binary: 1110011000011110001010000002
- Hexadecimal: 0x730F140
- Base-36: 1ZTWLC
Squares and roots of 120648000
- 120648000 squared (1206480002) is 14555939904000000
- 120648000 cubed (1206480003) is 1756145037537792000000000
-
The
square root of 120648000 is 10983.9883466799 -
The
cube root of 120648000 is 494.1286578847
Scales and comparisons
How big is 120648000?- 120,648,000 seconds is equal to 3 years, 43 weeks, 3 days, 9 hours, 20 minutes.
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To count from 1 to 120,648,000 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 120648000 cubic inches would be around 41.2 feet tall.
Recreational maths with 120648000
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