107149680
107,149,680 is an even composite number composed of six prime numbers multiplied together.
107149680 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred forty divisors.
Prime factorization of 107149680:
24 × 32 × 5 × 11 × 83 × 163
(2 × 2 × 2 × 2 × 3 × 3 × 5 × 11 × 83 × 163)See below for interesting mathematical facts about the number 107149680 from the Numbermatics database.
Names of 107149680
- Cardinal: 107149680 can be written as One hundred seven million, one hundred forty-nine thousand, six hundred eighty.
Scientific notation
- Scientific notation: 1.0714968 × 108
Factors of 107149680
Divisors of 107149680
- Number of divisors d(n): 240
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 30 33 36 40 44 45 48 55 60 66 72 80 83 88 90 99 110 120 132 144 163 165 166 176 180 198 220 240 249 264 326 330 332 360 396 415 440 489 495 498 528 652 660 664 720 747 792 815 830 880 913 978 990 996 1245 1304 1320 1328 1467 1494 1584 1630 1660 1793 1826 1956 1980 1992 2445 2490 2608 2640 2739 2934 2988 3260 3320 3586 3652 3735 3912 3960 3984 4565 4890 4980 5379 5478 5868 5976 6520 6640 7172 7304 7335 7470 7824 7920 8217 8965 9130 9780 9960 10758 10956 11736 11952 13040 13529 13695 14344 14608 14670 14940 16137 16434 17930 18260 19560 19920 21516 21912 23472 26895 27058 27390 28688 29340 29880 32274 32868 35860 36520 39120 40587 41085 43032 43824 53790 54116 54780 58680 59760 64548 65736 67645 71720 73040 80685 81174 82170 86064 107580 108232 109560 117360 121761 129096 131472 135290 143440 148819 161370 162348 164340 202935 215160 216464 219120 243522 258192 270580 297638 322740 324696 328680 405870 430320 446457 487044 541160 595276 608805 645480 649392 657360 744095 811740 892914 974088 1082320 1190552 1217610 1290960 1339371 1488190 1623480 1785828 1948176 2232285 2381104 2435220 2678742 2976380 3246960 3571656 4464570 4870440 5357484 5952760 6696855 7143312 8929140 9740880 10714968 11905520 13393710 17858280 21429936 26787420 35716560 53574840 107149680
- Sum of all divisors σ(n): 399724416
- Sum of proper divisors (its aliquot sum) s(n): 292574736
- 107149680 is an abundant number, because the sum of its proper divisors (292574736) is greater than itself. Its abundance is 185425056
Bases of 107149680
- Binary: 1100110001011111001011100002
- Hexadecimal: 0x662F970
- Base-36: 1RSL80
Squares and roots of 107149680
- 107149680 squared (1071496802) is 11481053924102400
- 107149680 cubed (1071496803) is 1230191254030316447232000
-
The
square root of 107149680 is 10351.3129601997 -
The
cube root of 107149680 is 474.9672073391
Scales and comparisons
How big is 107149680?- 107,149,680 seconds is equal to 3 years, 21 weeks, 1 day, 3 hours, 48 minutes.
-
To count from 1 to 107,149,680 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 107149680 cubic inches would be around 39.6 feet tall.
Recreational maths with 107149680
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