106031520
106,031,520 is an even composite number composed of six prime numbers multiplied together.
106031520 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 106031520:
25 × 32 × 5 × 7 × 67 × 157
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 7 × 67 × 157)See below for interesting mathematical facts about the number 106031520 from the Numbermatics database.
Names of 106031520
- Cardinal: 106031520 can be written as One hundred six million, thirty-one thousand, five hundred twenty.
Scientific notation
- Scientific notation: 1.0603152 × 108
Factors of 106031520
Divisors of 106031520
- Number of divisors d(n): 288
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 32 35 36 40 42 45 48 56 60 63 67 70 72 80 84 90 96 105 112 120 126 134 140 144 157 160 168 180 201 210 224 240 252 268 280 288 314 315 335 336 360 402 420 469 471 480 504 536 560 603 628 630 670 672 720 785 804 840 938 942 1005 1008 1072 1099 1120 1206 1256 1260 1340 1407 1413 1440 1570 1608 1680 1876 1884 2010 2016 2144 2198 2345 2355 2412 2512 2520 2680 2814 2826 3015 3140 3216 3297 3360 3752 3768 4020 4221 4396 4690 4710 4824 5024 5040 5360 5495 5628 5652 6030 6280 6432 6594 7035 7065 7504 7536 8040 8442 8792 9380 9420 9648 9891 10080 10519 10720 10990 11256 11304 12060 12560 13188 14070 14130 15008 15072 16080 16485 16884 17584 18760 18840 19296 19782 21038 21105 21980 22512 22608 24120 25120 26376 28140 28260 31557 32160 32970 33768 35168 37520 37680 39564 42076 42210 43960 45024 45216 48240 49455 52595 52752 56280 56520 63114 65940 67536 73633 75040 75360 79128 84152 84420 87920 94671 96480 98910 105190 105504 112560 113040 126228 131880 135072 147266 157785 158256 168304 168840 175840 189342 197820 210380 220899 225120 226080 252456 263760 294532 315570 316512 336608 337680 368165 378684 395640 420760 441798 473355 504912 527520 589064 631140 662697 675360 736330 757368 791280 841520 883596 946710 1009824 1104495 1178128 1262280 1325394 1472660 1514736 1582560 1683040 1767192 1893420 2208990 2356256 2524560 2650788 2945320 3029472 3313485 3534384 3786840 4417980 5049120 5301576 5890640 6626970 7068768 7573680 8835960 10603152 11781280 13253940 15147360 17671920 21206304 26507880 35343840 53015760 106031520
- Sum of all divisors σ(n): 422368128
- Sum of proper divisors (its aliquot sum) s(n): 316336608
- 106031520 is an abundant number, because the sum of its proper divisors (316336608) is greater than itself. Its abundance is 210305088
Bases of 106031520
- Binary: 1100101000111101001101000002
- Hexadecimal: 0x651E9A0
- Base-36: 1R4MG0
Squares and roots of 106031520
- 106031520 squared (1060315202) is 11242683233510400
- 106031520 cubed (1060315203) is 1192078792127622647808000
-
The
square root of 106031520 is 10297.1607737279 -
The
cube root of 106031520 is 473.3092539933
Scales and comparisons
How big is 106031520?- 106,031,520 seconds is equal to 3 years, 19 weeks, 2 days, 5 hours, 12 minutes.
-
To count from 1 to 106,031,520 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 106031520 cubic inches would be around 39.4 feet tall.
Recreational maths with 106031520
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