106966720
106,966,720 is an even composite number composed of five prime numbers multiplied together.
106966720 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred sixty-eight divisors.
Prime factorization of 106966720:
26 × 5 × 7 × 17 × 532
(2 × 2 × 2 × 2 × 2 × 2 × 5 × 7 × 17 × 53 × 53)See below for interesting mathematical facts about the number 106966720 from the Numbermatics database.
Names of 106966720
- Cardinal: 106966720 can be written as One hundred six million, nine hundred sixty-six thousand, seven hundred twenty.
Scientific notation
- Scientific notation: 1.0696672 × 108
Factors of 106966720
Divisors of 106966720
- Number of divisors d(n): 168
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Complete list of divisors:
1 2 4 5 7 8 10 14 16 17 20 28 32 34 35 40 53 56 64 68 70 80 85 106 112 119 136 140 160 170 212 224 238 265 272 280 320 340 371 424 448 476 530 544 560 595 680 742 848 901 952 1060 1088 1120 1190 1360 1484 1696 1802 1855 1904 2120 2240 2380 2720 2809 2968 3392 3604 3710 3808 4240 4505 4760 5440 5618 5936 6307 7208 7420 7616 8480 9010 9520 11236 11872 12614 14045 14416 14840 16960 18020 19040 19663 22472 23744 25228 28090 28832 29680 31535 36040 38080 39326 44944 47753 50456 56180 57664 59360 63070 72080 78652 89888 95506 98315 100912 112360 118720 126140 144160 157304 179776 191012 196630 201824 224720 238765 252280 288320 314608 334271 382024 393260 403648 449440 477530 504560 629216 668542 764048 786520 898880 955060 1009120 1258432 1337084 1528096 1573040 1671355 1910120 2018240 2674168 3056192 3146080 3342710 3820240 5348336 6292160 6685420 7640480 10696672 13370840 15280960 21393344 26741680 53483360 106966720
- Sum of all divisors σ(n): 314151264
- Sum of proper divisors (its aliquot sum) s(n): 207184544
- 106966720 is an abundant number, because the sum of its proper divisors (207184544) is greater than itself. Its abundance is 100217824
Bases of 106966720
- Binary: 1100110000000101110110000002
- Hexadecimal: 0x6602EC0
- Base-36: 1ROO1S
Squares and roots of 106966720
- 106966720 squared (1069667202) is 11441879187558400
- 106966720 cubed (1069667203) is 1223900287329386856448000
-
The
square root of 106966720 is 10342.4716581675 -
The
cube root of 106966720 is 474.6967149825
Scales and comparisons
How big is 106966720?- 106,966,720 seconds is equal to 3 years, 20 weeks, 6 days, 58 minutes, 40 seconds.
-
To count from 1 to 106,966,720 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 106966720 cubic inches would be around 39.6 feet tall.
Recreational maths with 106966720
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