106126080
106,126,080 is an even composite number composed of five prime numbers multiplied together.
106126080 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 106126080:
28 × 3 × 5 × 29 × 953
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 29 × 953)See below for interesting mathematical facts about the number 106126080 from the Numbermatics database.
Names of 106126080
- Cardinal: 106126080 can be written as One hundred six million, one hundred twenty-six thousand and eighty.
Scientific notation
- Scientific notation: 1.0612608 × 108
Factors of 106126080
Divisors of 106126080
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 32 40 48 58 60 64 80 87 96 116 120 128 145 160 174 192 232 240 256 290 320 348 384 435 464 480 580 640 696 768 870 928 953 960 1160 1280 1392 1740 1856 1906 1920 2320 2784 2859 3480 3712 3812 3840 4640 4765 5568 5718 6960 7424 7624 9280 9530 11136 11436 13920 14295 15248 18560 19060 22272 22872 27637 27840 28590 30496 37120 38120 45744 55274 55680 57180 60992 76240 82911 91488 110548 111360 114360 121984 138185 152480 165822 182976 221096 228720 243968 276370 304960 331644 365952 414555 442192 457440 552740 609920 663288 731904 829110 884384 914880 1105480 1219840 1326576 1658220 1768768 1829760 2210960 2653152 3316440 3537536 3659520 4421920 5306304 6632880 7075072 8843840 10612608 13265760 17687680 21225216 26531520 35375360 53063040 106126080
- Sum of all divisors σ(n): 350995680
- Sum of proper divisors (its aliquot sum) s(n): 244869600
- 106126080 is an abundant number, because the sum of its proper divisors (244869600) is greater than itself. Its abundance is 138743520
Bases of 106126080
- Binary: 1100101001101011011000000002
- Hexadecimal: 0x6535B00
- Base-36: 1R6NEO
Squares and roots of 106126080
- 106126080 squared (1061260802) is 11262744856166400
- 106126080 cubed (1061260803) is 1195270961625103859712000
-
The
square root of 106126080 is 10301.7513074235 -
The
cube root of 106126080 is 473.4499128747
Scales and comparisons
How big is 106126080?- 106,126,080 seconds is equal to 3 years, 19 weeks, 3 days, 7 hours, 28 minutes.
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To count from 1 to 106,126,080 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 106126080 cubic inches would be around 39.5 feet tall.
Recreational maths with 106126080
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