106352960
106,352,960 is an even composite number composed of five prime numbers multiplied together.
106352960 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred twelve divisors.
Prime factorization of 106352960:
26 × 5 × 7 × 79 × 601
(2 × 2 × 2 × 2 × 2 × 2 × 5 × 7 × 79 × 601)See below for interesting mathematical facts about the number 106352960 from the Numbermatics database.
Names of 106352960
- Cardinal: 106352960 can be written as One hundred six million, three hundred fifty-two thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 1.0635296 × 108
Factors of 106352960
Divisors of 106352960
- Number of divisors d(n): 112
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Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 79 80 112 140 158 160 224 280 316 320 395 448 553 560 601 632 790 1106 1120 1202 1264 1580 2212 2240 2404 2528 2765 3005 3160 4207 4424 4808 5056 5530 6010 6320 8414 8848 9616 11060 12020 12640 16828 17696 19232 21035 22120 24040 25280 33656 35392 38464 42070 44240 47479 48080 67312 84140 88480 94958 96160 134624 168280 176960 189916 192320 237395 269248 332353 336560 379832 474790 664706 673120 759664 949580 1329412 1346240 1519328 1661765 1899160 2658824 3038656 3323530 3798320 5317648 6647060 7596640 10635296 13294120 15193280 21270592 26588240 53176480 106352960
- Sum of all divisors σ(n): 293583360
- Sum of proper divisors (its aliquot sum) s(n): 187230400
- 106352960 is an abundant number, because the sum of its proper divisors (187230400) is greater than itself. Its abundance is 80877440
Bases of 106352960
- Binary: 1100101011011010001010000002
- Hexadecimal: 0x656D140
- Base-36: 1RBIGW
Squares and roots of 106352960
- 106352960 squared (1063529602) is 11310952100761600
- 106352960 cubed (1063529603) is 1202953236334214414336000
-
The
square root of 106352960 is 10312.7571483091 -
The
cube root of 106352960 is 473.7870585947
Scales and comparisons
How big is 106352960?- 106,352,960 seconds is equal to 3 years, 19 weeks, 5 days, 22 hours, 29 minutes, 20 seconds.
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To count from 1 to 106,352,960 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 106352960 cubic inches would be around 39.5 feet tall.
Recreational maths with 106352960
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