72480000
72,480,000 is an even composite number composed of four prime numbers multiplied together.
72480000 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one hundred eighty divisors.
Prime factorization of 72480000:
28 × 3 × 54 × 151
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 5 × 151)See below for interesting mathematical facts about the number 72480000 from the Numbermatics database.
Names of 72480000
- Cardinal: 72480000 can be written as Seventy-two million, four hundred eighty thousand.
Scientific notation
- Scientific notation: 7.248 × 107
Factors of 72480000
Divisors of 72480000
- Number of divisors d(n): 180
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 128 150 151 160 192 200 240 250 256 300 302 320 375 384 400 453 480 500 600 604 625 640 750 755 768 800 906 960 1000 1200 1208 1250 1280 1500 1510 1600 1812 1875 1920 2000 2265 2400 2416 2500 3000 3020 3200 3624 3750 3775 3840 4000 4530 4800 4832 5000 6000 6040 6400 7248 7500 7550 8000 9060 9600 9664 10000 11325 12000 12080 14496 15000 15100 16000 18120 18875 19200 19328 20000 22650 24000 24160 28992 30000 30200 32000 36240 37750 38656 40000 45300 48000 48320 56625 57984 60000 60400 72480 75500 80000 90600 94375 96000 96640 113250 115968 120000 120800 144960 151000 160000 181200 188750 193280 226500 240000 241600 283125 289920 302000 362400 377500 453000 480000 483200 566250 579840 604000 724800 755000 906000 966400 1132500 1208000 1449600 1510000 1812000 2265000 2416000 2899200 3020000 3624000 4530000 4832000 6040000 7248000 9060000 12080000 14496000 18120000 24160000 36240000 72480000
- Sum of all divisors σ(n): 242647328
- Sum of proper divisors (its aliquot sum) s(n): 170167328
- 72480000 is an abundant number, because the sum of its proper divisors (170167328) is greater than itself. Its abundance is 97687328
Bases of 72480000
- Binary: 1000101000111110101000000002
- Hexadecimal: 0x451F500
- Base-36: 175HXC
Squares and roots of 72480000
- 72480000 squared (724800002) is 5253350400000000
- 72480000 cubed (724800003) is 380762836992000000000000
-
The
square root of 72480000 is 8513.5186615171 -
The
cube root of 72480000 is 416.9391994811
Scales and comparisons
How big is 72480000?- 72,480,000 seconds is equal to 2 years, 15 weeks, 5 days, 21 hours, 20 minutes.
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To count from 1 to 72,480,000 would take you about three 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 72480000 cubic inches would be around 34.7 feet tall.
Recreational maths with 72480000
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