13689600
13,689,600 is an even composite number composed of five prime numbers multiplied together.
13689600 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred sixteen divisors.
Prime factorization of 13689600:
28 × 3 × 52 × 23 × 31
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 23 × 31)See below for interesting mathematical facts about the number 13689600 from the Numbermatics database.
Names of 13689600
- Cardinal: 13689600 can be written as Thirteen million, six hundred eighty-nine thousand, six hundred.
Scientific notation
- Scientific notation: 1.36896 × 107
Factors of 13689600
Divisors of 13689600
- Number of divisors d(n): 216
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 23 24 25 30 31 32 40 46 48 50 60 62 64 69 75 80 92 93 96 100 115 120 124 128 138 150 155 160 184 186 192 200 230 240 248 256 276 300 310 320 345 368 372 384 400 460 465 480 496 552 575 600 620 640 690 713 736 744 768 775 800 920 930 960 992 1104 1150 1200 1240 1280 1380 1426 1472 1488 1550 1600 1725 1840 1860 1920 1984 2139 2208 2300 2325 2400 2480 2760 2852 2944 2976 3100 3200 3450 3565 3680 3720 3840 3968 4278 4416 4600 4650 4800 4960 5520 5704 5888 5952 6200 6400 6900 7130 7360 7440 7936 8556 8832 9200 9300 9600 9920 10695 11040 11408 11904 12400 13800 14260 14720 14880 17112 17664 17825 18400 18600 19200 19840 21390 22080 22816 23808 24800 27600 28520 29440 29760 34224 35650 36800 37200 39680 42780 44160 45632 49600 53475 55200 57040 59520 68448 71300 73600 74400 85560 88320 91264 99200 106950 110400 114080 119040 136896 142600 147200 148800 171120 182528 198400 213900 220800 228160 273792 285200 297600 342240 427800 441600 456320 547584 570400 595200 684480 855600 912640 1140800 1368960 1711200 2281600 2737920 3422400 4563200 6844800 13689600
- Sum of all divisors σ(n): 48663552
- Sum of proper divisors (its aliquot sum) s(n): 34973952
- 13689600 is an abundant number, because the sum of its proper divisors (34973952) is greater than itself. Its abundance is 21284352
Bases of 13689600
- Binary: 1101000011100011000000002
- Hexadecimal: 0xD0E300
- Base-36: 85EYO
Squares and roots of 13689600
- 13689600 squared (136896002) is 187405148160000
- 13689600 cubed (136896003) is 2565501516251136000000
-
The
square root of 13689600 is 3699.9459455511 -
The
cube root of 13689600 is 239.2196879429
Scales and comparisons
How big is 13689600?- 13,689,600 seconds is equal to 22 weeks, 4 days, 10 hours, 40 minutes.
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To count from 1 to 13,689,600 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 13689600 cubic inches would be around 19.9 feet tall.
Recreational maths with 13689600
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