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18072720 = 243452789
BaseRepresentation
bin100010011110…
…0010010010000
31021000012010000
41010330102100
514111311340
61443210000
7306421101
oct104742220
937005100
1018072720
11a224336
126076900
13398a123
1425863a8
1518bed30
hex113c490

18072720 has 100 divisors (see below), whose sum is σ = 62791740. Its totient is φ = 4817664.

The previous prime is 18072707. The next prime is 18072739. The reversal of 18072720 is 2727081.

It can be written as a sum of positive squares in 2 ways, for example, as 8928144 + 9144576 = 2988^2 + 3024^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5086 + ... + 7874.

Almost surely, 218072720 is an apocalyptic number.

18072720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18072720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31395870).

18072720 is an abundant number, since it is smaller than the sum of its proper divisors (44719020).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

18072720 is a wasteful number, since it uses less digits than its factorization.

18072720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2814 (or 2799 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 18072720 is about 4251.2021829125. The cubic root of 18072720 is about 262.4265917181.

It can be divided in two parts, 180 and 72720, that added together give a square (72900 = 2702).

The spelling of 18072720 in words is "eighteen million, seventy-two thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 270 324 360 405 432 540 648 720 810 1080 1296 1620 2160 2789 3240 5578 6480 8367 11156 13945 16734 22312 25101 27890 33468 41835 44624 50202 55780 66936 75303 83670 100404 111560 125505 133872 150606 167340 200808 223120 225909 251010 301212 334680 376515 401616 451818 502020 602424 669360 753030 903636 1004040 1129545 1204848 1506060 1807272 2008080 2259090 3012120 3614544 4518180 6024240 9036360 18072720