13005120
13,005,120 is an even composite number composed of six prime numbers multiplied together.
13005120 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred twenty-four divisors.
Prime factorization of 13005120:
26 × 3 × 5 × 19 × 23 × 31
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 19 × 23 × 31)See below for interesting mathematical facts about the number 13005120 from the Numbermatics database.
Names of 13005120
- Cardinal: 13005120 can be written as Thirteen million, five thousand, one hundred twenty.
Scientific notation
- Scientific notation: 1.300512 × 107
Factors of 13005120
Divisors of 13005120
- Number of divisors d(n): 224
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 19 20 23 24 30 31 32 38 40 46 48 57 60 62 64 69 76 80 92 93 95 96 114 115 120 124 138 152 155 160 184 186 190 192 228 230 240 248 276 285 304 310 320 345 368 372 380 437 456 460 465 480 496 552 570 589 608 620 690 713 736 744 760 874 912 920 930 960 992 1104 1140 1178 1216 1240 1311 1380 1426 1472 1488 1520 1748 1767 1824 1840 1860 1984 2139 2185 2208 2280 2356 2480 2622 2760 2852 2945 2976 3040 3496 3534 3565 3648 3680 3720 4278 4370 4416 4560 4712 4960 5244 5520 5704 5890 5952 6080 6555 6992 7068 7130 7360 7440 8556 8740 8835 9120 9424 9920 10488 10695 11040 11408 11780 13110 13547 13984 14136 14260 14880 17112 17480 17670 18240 18848 20976 21390 22080 22816 23560 26220 27094 27968 28272 28520 29760 34224 34960 35340 37696 40641 41952 42780 45632 47120 52440 54188 56544 57040 67735 68448 69920 70680 81282 83904 85560 94240 104880 108376 113088 114080 135470 136896 139840 141360 162564 171120 188480 203205 209760 216752 228160 270940 282720 325128 342240 406410 419520 433504 541880 565440 650256 684480 812820 867008 1083760 1300512 1625640 2167520 2601024 3251280 4335040 6502560 13005120
- Sum of all divisors σ(n): 46817280
- Sum of proper divisors (its aliquot sum) s(n): 33812160
- 13005120 is an abundant number, because the sum of its proper divisors (33812160) is greater than itself. Its abundance is 20807040
Bases of 13005120
- Binary: 1100011001110001010000002
- Hexadecimal: 0xC67140
- Base-36: 7QQTC
Squares and roots of 13005120
- 13005120 squared (130051202) is 169133146214400
- 13005120 cubed (130051203) is 2199596862495817728000
-
The
square root of 13005120 is 3606.2612218197 -
The
cube root of 13005120 is 235.1643335247
Scales and comparisons
How big is 13005120?- 13,005,120 seconds is equal to 21 weeks, 3 days, 12 hours, 32 minutes.
-
To count from 1 to 13,005,120 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 13005120 cubic inches would be around 19.6 feet tall.
Recreational maths with 13005120
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