13468800
13,468,800 is an even composite number composed of five prime numbers multiplied together.
13468800 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred ninety-two divisors.
Prime factorization of 13468800:
27 × 3 × 52 × 23 × 61
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 23 × 61)See below for interesting mathematical facts about the number 13468800 from the Numbermatics database.
Names of 13468800
- Cardinal: 13468800 can be written as Thirteen million, four hundred sixty-eight thousand, eight hundred.
Scientific notation
- Scientific notation: 1.34688 × 107
Factors of 13468800
Divisors of 13468800
- Number of divisors d(n): 192
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 23 24 25 30 32 40 46 48 50 60 61 64 69 75 80 92 96 100 115 120 122 128 138 150 160 183 184 192 200 230 240 244 276 300 305 320 345 366 368 384 400 460 480 488 552 575 600 610 640 690 732 736 800 915 920 960 976 1104 1150 1200 1220 1380 1403 1464 1472 1525 1600 1725 1830 1840 1920 1952 2208 2300 2400 2440 2760 2806 2928 2944 3050 3200 3450 3660 3680 3904 4209 4416 4575 4600 4800 4880 5520 5612 5856 6100 6900 7015 7320 7360 7808 8418 8832 9150 9200 9600 9760 11040 11224 11712 12200 13800 14030 14640 14720 16836 18300 18400 19520 21045 22080 22448 23424 24400 27600 28060 29280 33672 35075 36600 36800 39040 42090 44160 44896 48800 55200 56120 58560 67344 70150 73200 73600 84180 89792 97600 105225 110400 112240 117120 134688 140300 146400 168360 179584 195200 210450 220800 224480 269376 280600 292800 336720 420900 448960 538752 561200 585600 673440 841800 897920 1122400 1346880 1683600 2244800 2693760 3367200 4489600 6734400 13468800
- Sum of all divisors σ(n): 47050560
- Sum of proper divisors (its aliquot sum) s(n): 33581760
- 13468800 is an abundant number, because the sum of its proper divisors (33581760) is greater than itself. Its abundance is 20112960
Bases of 13468800
- Binary: 1100110110000100100000002
- Hexadecimal: 0xCD8480
- Base-36: 80OLC
Squares and roots of 13468800
- 13468800 squared (134688002) is 181408573440000
- 13468800 cubed (134688003) is 2443355793948672000000
-
The
square root of 13468800 is 3669.9863759965 -
The
cube root of 13468800 is 237.9265832917
Scales and comparisons
How big is 13468800?- 13,468,800 seconds is equal to 22 weeks, 1 day, 21 hours, 20 minutes.
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To count from 1 to 13,468,800 would take you about thirty-three weeks!
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 13468800 cubic inches would be around 19.8 feet tall.
Recreational maths with 13468800
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