97668120
97,668,120 is an even composite number composed of six prime numbers multiplied together.
97668120 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one hundred twenty-eight divisors.
Prime factorization of 97668120:
23 × 3 × 5 × 11 × 23 × 3217
(2 × 2 × 2 × 3 × 5 × 11 × 23 × 3217)See below for interesting mathematical facts about the number 97668120 from the Numbermatics database.
Names of 97668120
- Cardinal: 97668120 can be written as Ninety-seven million, six hundred sixty-eight thousand, one hundred twenty.
Scientific notation
- Scientific notation: 9.766812 × 107
Factors of 97668120
Divisors of 97668120
- Number of divisors d(n): 128
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Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 15 20 22 23 24 30 33 40 44 46 55 60 66 69 88 92 110 115 120 132 138 165 184 220 230 253 264 276 330 345 440 460 506 552 660 690 759 920 1012 1265 1320 1380 1518 2024 2530 2760 3036 3217 3795 5060 6072 6434 7590 9651 10120 12868 15180 16085 19302 25736 30360 32170 35387 38604 48255 64340 70774 73991 77208 96510 106161 128680 141548 147982 176935 193020 212322 221973 283096 295964 353870 369955 386040 424644 443946 530805 591928 707740 739910 813901 849288 887892 1061610 1109865 1415480 1479820 1627802 1775784 2123220 2219730 2441703 2959640 3255604 4069505 4246440 4439460 4883406 6511208 8139010 8878920 9766812 12208515 16278020 19533624 24417030 32556040 48834060 97668120
- Sum of all divisors σ(n): 333642240
- Sum of proper divisors (its aliquot sum) s(n): 235974120
- 97668120 is an abundant number, because the sum of its proper divisors (235974120) is greater than itself. Its abundance is 138306000
Bases of 97668120
- Binary: 1011101001001001100000110002
- Hexadecimal: 0x5D24C18
- Base-36: 1M5D7C
Squares and roots of 97668120
- 97668120 squared (976681202) is 9539061664334400
- 97668120 cubed (976681203) is 931662219319611899328000
-
The
square root of 97668120 is 9882.7182495505 -
The
cube root of 97668120 is 460.5225944747
Scales and comparisons
How big is 97668120?- 97,668,120 seconds is equal to 3 years, 5 weeks, 3 days, 10 hours, 2 minutes.
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To count from 1 to 97,668,120 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 97668120 cubic inches would be around 38.4 feet tall.
Recreational maths with 97668120
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