97128800
97,128,800 is an even composite number composed of four prime numbers multiplied together.
97128800 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of seventy-two divisors.
Prime factorization of 97128800:
25 × 52 × 317 × 383
(2 × 2 × 2 × 2 × 2 × 5 × 5 × 317 × 383)See below for interesting mathematical facts about the number 97128800 from the Numbermatics database.
Names of 97128800
- Cardinal: 97128800 can be written as Ninety-seven million, one hundred twenty-eight thousand, eight hundred.
Scientific notation
- Scientific notation: 9.71288 × 107
Factors of 97128800
Divisors of 97128800
- Number of divisors d(n): 72
-
Complete list of divisors:
1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 317 383 400 634 766 800 1268 1532 1585 1915 2536 3064 3170 3830 5072 6128 6340 7660 7925 9575 10144 12256 12680 15320 15850 19150 25360 30640 31700 38300 50720 61280 63400 76600 121411 126800 153200 242822 253600 306400 485644 607055 971288 1214110 1942576 2428220 3035275 3885152 4856440 6070550 9712880 12141100 19425760 24282200 48564400 97128800
- Sum of all divisors σ(n): 238484736
- Sum of proper divisors (its aliquot sum) s(n): 141355936
- 97128800 is an abundant number, because the sum of its proper divisors (141355936) is greater than itself. Its abundance is 44227136
Bases of 97128800
- Binary: 1011100101000010001011000002
- Hexadecimal: 0x5CA1160
- Base-36: 1LTT28
Squares and roots of 97128800
- 97128800 squared (971288002) is 9434003789440000
- 97128800 cubed (971288003) is 916313467263759872000000
-
The
square root of 97128800 is 9855.3944619177 -
The
cube root of 97128800 is 459.6733661043
Scales and comparisons
How big is 97128800?- 97,128,800 seconds is equal to 3 years, 4 weeks, 4 days, 4 hours, 13 minutes, 20 seconds.
-
To count from 1 to 97,128,800 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 97128800 cubic inches would be around 38.3 feet tall.
Recreational maths with 97128800
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