97968600
97,968,600 is an even composite number composed of five prime numbers multiplied together.
97968600 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 97968600:
23 × 32 × 52 × 37 × 1471
(2 × 2 × 2 × 3 × 3 × 5 × 5 × 37 × 1471)See below for interesting mathematical facts about the number 97968600 from the Numbermatics database.
Names of 97968600
- Cardinal: 97968600 can be written as Ninety-seven million, nine hundred sixty-eight thousand, six hundred.
Scientific notation
- Scientific notation: 9.79686 × 107
Factors of 97968600
Divisors of 97968600
- Number of divisors d(n): 144
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 37 40 45 50 60 72 74 75 90 100 111 120 148 150 180 185 200 222 225 296 300 333 360 370 444 450 555 600 666 740 888 900 925 1110 1332 1471 1480 1665 1800 1850 2220 2664 2775 2942 3330 3700 4413 4440 5550 5884 6660 7355 7400 8325 8826 11100 11768 13239 13320 14710 16650 17652 22065 22200 26478 29420 33300 35304 36775 44130 52956 54427 58840 66195 66600 73550 88260 105912 108854 110325 132390 147100 163281 176520 217708 220650 264780 272135 294200 326562 330975 435416 441300 489843 529560 544270 653124 661950 816405 882600 979686 1088540 1306248 1323900 1360675 1632810 1959372 2177080 2449215 2647800 2721350 3265620 3918744 4082025 4898430 5442700 6531240 8164050 9796860 10885400 12246075 16328100 19593720 24492150 32656200 48984300 97968600
- Sum of all divisors σ(n): 338133120
- Sum of proper divisors (its aliquot sum) s(n): 240164520
- 97968600 is an abundant number, because the sum of its proper divisors (240164520) is greater than itself. Its abundance is 142195920
Bases of 97968600
- Binary: 1011101011011100001110110002
- Hexadecimal: 0x5D6E1D8
- Base-36: 1MBT20
Squares and roots of 97968600
- 97968600 squared (979686002) is 9597846585960000
- 97968600 cubed (979686003) is 940287593041280856000000
-
The
square root of 97968600 is 9897.9088700593 -
The
cube root of 97968600 is 460.9943832317
Scales and comparisons
How big is 97968600?- 97,968,600 seconds is equal to 3 years, 5 weeks, 6 days, 21 hours, 30 minutes.
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To count from 1 to 97,968,600 would take you about four 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 97968600 cubic inches would be around 38.4 feet tall.
Recreational maths with 97968600
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