106406720
106,406,720 is an even composite number composed of five prime numbers multiplied together.
106406720 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 106406720:
26 × 5 × 7 × 67 × 709
(2 × 2 × 2 × 2 × 2 × 2 × 5 × 7 × 67 × 709)See below for interesting mathematical facts about the number 106406720 from the Numbermatics database.
Names of 106406720
- Cardinal: 106406720 can be written as One hundred six million, four hundred six thousand, seven hundred twenty.
Scientific notation
- Scientific notation: 1.0640672 × 108
Factors of 106406720
Divisors of 106406720
- 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 67 70 80 112 134 140 160 224 268 280 320 335 448 469 536 560 670 709 938 1072 1120 1340 1418 1876 2144 2240 2345 2680 2836 3545 3752 4288 4690 4963 5360 5672 7090 7504 9380 9926 10720 11344 14180 15008 18760 19852 21440 22688 24815 28360 30016 37520 39704 45376 47503 49630 56720 75040 79408 95006 99260 113440 150080 158816 190012 198520 226880 237515 317632 332521 380024 397040 475030 665042 760048 794080 950060 1330084 1520096 1588160 1662605 1900120 2660168 3040192 3325210 3800240 5320336 6650420 7600480 10640672 13300840 15200960 21281344 26601680 53203360 106406720
- Sum of all divisors σ(n): 294314880
- Sum of proper divisors (its aliquot sum) s(n): 187908160
- 106406720 is an abundant number, because the sum of its proper divisors (187908160) is greater than itself. Its abundance is 81501440
Bases of 106406720
- Binary: 1100101011110100011010000002
- Hexadecimal: 0x657A340
- Base-36: 1RCNY8
Squares and roots of 106406720
- 106406720 squared (1064067202) is 11322390061158400
- 106406720 cubed (1064067203) is 1204778388968464744448000
-
The
square root of 106406720 is 10315.3632994675 -
The
cube root of 106406720 is 473.8668761561
Scales and comparisons
How big is 106406720?- 106,406,720 seconds is equal to 3 years, 19 weeks, 6 days, 13 hours, 25 minutes, 20 seconds.
-
To count from 1 to 106,406,720 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 106406720 cubic inches would be around 39.5 feet tall.
Recreational maths with 106406720
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