164407920
164,407,920 is an even composite number composed of six prime numbers multiplied together.
What does the number 164407920 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 160 divisors.
164407920 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one hundred sixty divisors.
Prime factorization of 164407920:
24 × 3 × 5 × 43 × 89 × 179
(2 × 2 × 2 × 2 × 3 × 5 × 43 × 89 × 179)See below for interesting mathematical facts about the number 164407920 from the Numbermatics database.
Names of 164407920
- Cardinal: 164407920 can be written as One hundred sixty-four million, four hundred seven thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 1.6440792 × 108
Factors of 164407920
Divisors of 164407920
- Number of divisors d(n): 160
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 43 48 60 80 86 89 120 129 172 178 179 215 240 258 267 344 356 358 430 445 516 534 537 645 688 712 716 860 890 895 1032 1068 1074 1290 1335 1424 1432 1720 1780 1790 2064 2136 2148 2580 2670 2685 2864 3440 3560 3580 3827 4272 4296 5160 5340 5370 7120 7160 7654 7697 8592 10320 10680 10740 11481 14320 15308 15394 15931 19135 21360 21480 22962 23091 30616 30788 31862 38270 38485 42960 45924 46182 47793 57405 61232 61576 63724 76540 76970 79655 91848 92364 95586 114810 115455 123152 127448 153080 153940 159310 183696 184728 191172 229620 230910 238965 254896 306160 307880 318620 369456 382344 459240 461820 477930 615760 637240 685033 764688 918480 923640 955860 1274480 1370066 1847280 1911720 2055099 2740132 3425165 3823440 4110198 5480264 6850330 8220396 10275495 10960528 13700660 16440792 20550990 27401320 32881584 41101980 54802640 82203960 164407920
- Sum of all divisors σ(n): 530323200
- Sum of proper divisors (its aliquot sum) s(n): 365915280
- 164407920 is an abundant number, because the sum of its proper divisors (365915280) is greater than itself. Its abundance is 201507360
Bases of 164407920
- Binary: 10011100110010101010011100002
- Hexadecimal: 0x9CCAA70
- Base-36: 2PVTYO
Squares and roots of 164407920
- 164407920 squared (1644079202) is 27029964158726400
- 164407920 cubed (1644079203) is 4443940185010757273088000
-
The
square root of 164407920 is 12822.1651837745 -
The
cube root of 164407920 is 547.8238196145
Scales and comparisons
How big is 164407920?- 164,407,920 seconds is equal to 5 years, 11 weeks, 5 days, 20 hours, 52 minutes.
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To count from 1 to 164,407,920 would take you about seven 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 164407920 cubic inches would be around 45.7 feet tall.
Recreational maths with 164407920
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