106749864
106,749,864 is an even composite number composed of five prime numbers multiplied together.
106749864 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 106749864:
23 × 32 × 132 × 31 × 283
(2 × 2 × 2 × 3 × 3 × 13 × 13 × 31 × 283)See below for interesting mathematical facts about the number 106749864 from the Numbermatics database.
Names of 106749864
- Cardinal: 106749864 can be written as One hundred six million, seven hundred forty-nine thousand, eight hundred sixty-four.
Scientific notation
- Scientific notation: 1.06749864 × 108
Factors of 106749864
Divisors of 106749864
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 3 4 6 8 9 12 13 18 24 26 31 36 39 52 62 72 78 93 104 117 124 156 169 186 234 248 279 283 312 338 372 403 468 507 558 566 676 744 806 849 936 1014 1116 1132 1209 1352 1521 1612 1698 2028 2232 2264 2418 2547 3042 3224 3396 3627 3679 4056 4836 5094 5239 6084 6792 7254 7358 8773 9672 10188 10478 11037 12168 14508 14716 15717 17546 20376 20956 22074 26319 29016 29432 31434 33111 35092 41912 44148 47151 47827 52638 62868 66222 70184 78957 88296 94302 95654 105276 114049 125736 132444 143481 157914 188604 191308 210552 228098 264888 286962 315828 342147 377208 382616 430443 456196 573924 631656 684294 860886 912392 1026441 1147848 1368588 1482637 1721772 2052882 2737176 2965274 3443544 4105764 4447911 5930548 8211528 8895822 11861096 13343733 17791644 26687466 35583288 53374932 106749864
- Sum of all divisors σ(n): 324305280
- Sum of proper divisors (its aliquot sum) s(n): 217555416
- 106749864 is an abundant number, because the sum of its proper divisors (217555416) is greater than itself. Its abundance is 110805552
Bases of 106749864
- Binary: 1100101110011011111101010002
- Hexadecimal: 0x65CDFA8
- Base-36: 1RK0Q0
Squares and roots of 106749864
- 106749864 squared (1067498642) is 11395533464018496
- 106749864 cubed (1067498643) is 1216471647491423341484544
-
The
square root of 106749864 is 10331.9825783825 -
The
cube root of 106749864 is 474.3757102375
Scales and comparisons
How big is 106749864?- 106,749,864 seconds is equal to 3 years, 20 weeks, 3 days, 12 hours, 44 minutes, 24 seconds.
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To count from 1 to 106,749,864 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 106749864 cubic inches would be around 39.5 feet tall.
Recreational maths with 106749864
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