13680000
13,680,000 is an even composite number composed of four prime numbers multiplied together.
13680000 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of two hundred forty divisors.
Prime factorization of 13680000:
27 × 32 × 54 × 19
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 5 × 19)See below for interesting mathematical facts about the number 13680000 from the Numbermatics database.
Names of 13680000
- Cardinal: 13680000 can be written as Thirteen million, six hundred eighty thousand.
Scientific notation
- Scientific notation: 1.368 × 107
Factors of 13680000
Divisors of 13680000
- Number of divisors d(n): 240
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 25 30 32 36 38 40 45 48 50 57 60 64 72 75 76 80 90 95 96 100 114 120 125 128 144 150 152 160 171 180 190 192 200 225 228 240 250 285 288 300 304 320 342 360 375 380 384 400 450 456 475 480 500 570 576 600 608 625 640 684 720 750 760 800 855 900 912 950 960 1000 1125 1140 1152 1200 1216 1250 1368 1425 1440 1500 1520 1600 1710 1800 1824 1875 1900 1920 2000 2250 2280 2375 2400 2432 2500 2736 2850 2880 3000 3040 3200 3420 3600 3648 3750 3800 4000 4275 4500 4560 4750 4800 5000 5472 5625 5700 5760 6000 6080 6840 7125 7200 7296 7500 7600 8000 8550 9000 9120 9500 9600 10000 10944 11250 11400 11875 12000 12160 13680 14250 14400 15000 15200 16000 17100 18000 18240 19000 20000 21375 21888 22500 22800 23750 24000 27360 28500 28800 30000 30400 34200 35625 36000 36480 38000 40000 42750 45000 45600 47500 48000 54720 57000 60000 60800 68400 71250 72000 76000 80000 85500 90000 91200 95000 106875 109440 114000 120000 136800 142500 144000 152000 171000 180000 182400 190000 213750 228000 240000 273600 285000 304000 342000 360000 380000 427500 456000 547200 570000 684000 720000 760000 855000 912000 1140000 1368000 1520000 1710000 2280000 2736000 3420000 4560000 6840000 13680000
- Sum of all divisors σ(n): 51780300
- Sum of proper divisors (its aliquot sum) s(n): 38100300
- 13680000 is an abundant number, because the sum of its proper divisors (38100300) is greater than itself. Its abundance is 24420300
Bases of 13680000
- Binary: 1101000010111101100000002
- Hexadecimal: 0xD0BD80
- Base-36: 857K0
Squares and roots of 13680000
- 13680000 squared (136800002) is 187142400000000
- 13680000 cubed (136800003) is 2560108032000000000000
-
The
square root of 13680000 is 3698.6484017813 -
The
cube root of 13680000 is 239.1637562861
Scales and comparisons
How big is 13680000?- 13,680,000 seconds is equal to 22 weeks, 4 days, 8 hours.
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To count from 1 to 13,680,000 would take you about thirty-three 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 13680000 cubic inches would be around 19.9 feet tall.
Recreational maths with 13680000
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