164640
164,640 is an even composite number composed of four prime numbers multiplied together.
164640 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of ninety-six divisors.
Prime factorization of 164640:
25 × 3 × 5 × 73
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 7 × 7)See below for interesting mathematical facts about the number 164640 from the Numbermatics database.
Names of 164640
- Cardinal: 164640 can be written as One hundred sixty-four thousand, six hundred forty.
Scientific notation
- Scientific notation: 1.6464 × 105
Factors of 164640
Divisors of 164640
- Number of divisors d(n): 96
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 49 56 60 70 80 84 96 98 105 112 120 140 147 160 168 196 210 224 240 245 280 294 336 343 392 420 480 490 560 588 672 686 735 784 840 980 1029 1120 1176 1372 1470 1568 1680 1715 1960 2058 2352 2744 2940 3360 3430 3920 4116 4704 5145 5488 5880 6860 7840 8232 10290 10976 11760 13720 16464 20580 23520 27440 32928 41160 54880 82320 164640
- Sum of all divisors σ(n): 604800
- Sum of proper divisors (its aliquot sum) s(n): 440160
- 164640 is an abundant number, because the sum of its proper divisors (440160) is greater than itself. Its abundance is 275520
Bases of 164640
- Binary: 1010000011001000002
- Hexadecimal: 0x28320
- Base-36: 3J1C
Squares and roots of 164640
- 164640 squared (1646402) is 27106329600
- 164640 cubed (1646403) is 4462786105344000
-
The
square root of 164640 is 405.7585488933 -
The
cube root of 164640 is 54.8081469763
Scales and comparisons
How big is 164640?- 164,640 seconds is equal to 1 day, 21 hours, 44 minutes.
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To count from 1 to 164,640 would take you about twenty-one hours.
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 164640 cubic inches would be around 4.6 feet tall.
Recreational maths with 164640
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