120480768
120,480,768 is an even composite number composed of four prime numbers multiplied together.
120480768 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one hundred thirty-two divisors.
Prime factorization of 120480768:
210 × 32 × 17 × 769
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 17 × 769)See below for interesting mathematical facts about the number 120480768 from the Numbermatics database.
Names of 120480768
- Cardinal: 120480768 can be written as One hundred twenty million, four hundred eighty thousand, seven hundred sixty-eight.
Scientific notation
- Scientific notation: 1.20480768 × 108
Factors of 120480768
Divisors of 120480768
- Number of divisors d(n): 132
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 128 136 144 153 192 204 256 272 288 306 384 408 512 544 576 612 768 769 816 1024 1088 1152 1224 1536 1538 1632 2176 2304 2307 2448 3072 3076 3264 4352 4608 4614 4896 6152 6528 6921 8704 9216 9228 9792 12304 13056 13073 13842 17408 18456 19584 24608 26112 26146 27684 36912 39168 39219 49216 52224 52292 55368 73824 78336 78438 98432 104584 110736 117657 147648 156672 156876 196864 209168 221472 235314 295296 313752 393728 418336 442944 470628 590592 627504 787456 836672 885888 941256 1181184 1255008 1673344 1771776 1882512 2362368 2510016 3346688 3543552 3765024 5020032 6693376 7087104 7530048 10040064 13386752 15060096 20080128 30120192 40160256 60240384 120480768
- Sum of all divisors σ(n): 368828460
- Sum of proper divisors (its aliquot sum) s(n): 248347692
- 120480768 is an abundant number, because the sum of its proper divisors (248347692) is greater than itself. Its abundance is 127866924
Bases of 120480768
- Binary: 1110010111001100100000000002
- Hexadecimal: 0x72E6400
- Base-36: 1ZQBK0
Squares and roots of 120480768
- 120480768 squared (1204807682) is 14515615457869824
- 120480768 cubed (1204807683) is 1748852498356828039544832
-
The
square root of 120480768 is 10976.3731714989 -
The
cube root of 120480768 is 493.9002459389
Scales and comparisons
How big is 120480768?- 120,480,768 seconds is equal to 3 years, 43 weeks, 1 day, 10 hours, 52 minutes, 48 seconds.
-
To count from 1 to 120,480,768 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 120480768 cubic inches would be around 41.2 feet tall.
Recreational maths with 120480768
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