120198960
120,198,960 is an even composite number composed of five prime numbers multiplied together.
120198960 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred eighty divisors.
Prime factorization of 120198960:
24 × 32 × 5 × 72 × 3407
(2 × 2 × 2 × 2 × 3 × 3 × 5 × 7 × 7 × 3407)See below for interesting mathematical facts about the number 120198960 from the Numbermatics database.
Names of 120198960
- Cardinal: 120198960 can be written as One hundred twenty million, one hundred ninety-eight thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 1.2019896 × 108
Factors of 120198960
Divisors of 120198960
- Number of divisors d(n): 180
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 35 36 40 42 45 48 49 56 60 63 70 72 80 84 90 98 105 112 120 126 140 144 147 168 180 196 210 240 245 252 280 294 315 336 360 392 420 441 490 504 560 588 630 720 735 784 840 882 980 1008 1176 1260 1470 1680 1764 1960 2205 2352 2520 2940 3407 3528 3920 4410 5040 5880 6814 7056 8820 10221 11760 13628 17035 17640 20442 23849 27256 30663 34070 35280 40884 47698 51105 54512 61326 68140 71547 81768 95396 102210 119245 122652 136280 143094 153315 163536 166943 190792 204420 214641 238490 245304 272560 286188 306630 333886 357735 381584 408840 429282 476980 490608 500829 572376 613260 667772 715470 817680 834715 858564 953960 1001658 1073205 1144752 1226520 1335544 1430940 1502487 1669430 1717128 1907920 2003316 2146410 2453040 2504145 2671088 2861880 3004974 3338860 3434256 4006632 4292820 5008290 5723760 6009948 6677720 7512435 8013264 8585640 10016580 12019896 13355440 15024870 17171280 20033160 24039792 30049740 40066320 60099480 120198960
- Sum of all divisors σ(n): 469711008
- Sum of proper divisors (its aliquot sum) s(n): 349512048
- 120198960 is an abundant number, because the sum of its proper divisors (349512048) is greater than itself. Its abundance is 229313088
Bases of 120198960
- Binary: 1110010101000010111001100002
- Hexadecimal: 0x72A1730
- Base-36: 1ZKA40
Squares and roots of 120198960
- 120198960 squared (1201989602) is 14447789985081600
- 120198960 cubed (1201989603) is 1736609330505223835136000
-
The
square root of 120198960 is 10963.5286290501 -
The
cube root of 120198960 is 493.5148629899
Scales and comparisons
How big is 120198960?- 120,198,960 seconds is equal to 3 years, 42 weeks, 5 days, 4 hours, 36 minutes.
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To count from 1 to 120,198,960 would take you about five 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 120198960 cubic inches would be around 41.1 feet tall.
Recreational maths with 120198960
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