13291200
13,291,200 is an even composite number composed of five prime numbers multiplied together.
13291200 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred fifty-two divisors.
Prime factorization of 13291200:
26 × 32 × 52 × 13 × 71
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 13 × 71)See below for interesting mathematical facts about the number 13291200 from the Numbermatics database.
Names of 13291200
- Cardinal: 13291200 can be written as Thirteen million, two hundred ninety-one thousand, two hundred.
Scientific notation
- Scientific notation: 1.32912 × 107
Factors of 13291200
Divisors of 13291200
- Number of divisors d(n): 252
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 30 32 36 39 40 45 48 50 52 60 64 65 71 72 75 78 80 90 96 100 104 117 120 130 142 144 150 156 160 180 192 195 200 208 213 225 234 240 260 284 288 300 312 320 325 355 360 390 400 416 426 450 468 480 520 568 576 585 600 624 639 650 710 720 780 800 832 852 900 923 936 960 975 1040 1065 1136 1170 1200 1248 1278 1300 1420 1440 1560 1600 1704 1775 1800 1846 1872 1950 2080 2130 2272 2340 2400 2496 2556 2600 2769 2840 2880 2925 3120 3195 3408 3550 3600 3692 3744 3900 4160 4260 4544 4615 4680 4800 5112 5200 5325 5538 5680 5850 6240 6390 6816 7100 7200 7384 7488 7800 8307 8520 9230 9360 10224 10400 10650 11076 11360 11700 12480 12780 13632 13845 14200 14400 14768 15600 15975 16614 17040 18460 18720 20448 20800 21300 22152 22720 23075 23400 25560 27690 28400 29536 31200 31950 33228 34080 36920 37440 40896 41535 42600 44304 46150 46800 51120 55380 56800 59072 62400 63900 66456 68160 69225 73840 83070 85200 88608 92300 93600 102240 110760 113600 127800 132912 138450 147680 166140 170400 177216 184600 187200 204480 207675 221520 255600 265824 276900 295360 332280 340800 369200 415350 443040 511200 531648 553800 664560 738400 830700 886080 1022400 1107600 1329120 1476800 1661400 2215200 2658240 3322800 4430400 6645600 13291200
- Sum of all divisors σ(n): 51590448
- Sum of proper divisors (its aliquot sum) s(n): 38299248
- 13291200 is an abundant number, because the sum of its proper divisors (38299248) is greater than itself. Its abundance is 25008048
Bases of 13291200
- Binary: 1100101011001110110000002
- Hexadecimal: 0xCACEC0
- Base-36: 7WVK0
Squares and roots of 13291200
- 13291200 squared (132912002) is 176655997440000
- 13291200 cubed (132912003) is 2347970193174528000000
-
The
square root of 13291200 is 3645.7098074313 -
The
cube root of 13291200 is 236.8761837903
Scales and comparisons
How big is 13291200?- 13,291,200 seconds is equal to 21 weeks, 6 days, 20 hours.
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To count from 1 to 13,291,200 would take you about thirty-two 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 13291200 cubic inches would be around 19.7 feet tall.
Recreational maths with 13291200
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