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18051120 = 2433561137
BaseRepresentation
bin100010011011…
…1000000110000
31020222002111000
41010313000300
514110113440
61442522000
7306301113
oct104670060
936862430
1018051120
11a20a08a
126066300
133980349
14257c57a
1518b8730
hex1137030

18051120 has 160 divisors (see below), whose sum is σ = 63656640. Its totient is φ = 4700160.

The previous prime is 18051119. The next prime is 18051139. The reversal of 18051120 is 2115081.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 18051093 and 18051102.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 131692 + ... + 131828.

It is an arithmetic number, because the mean of its divisors is an integer number (397854).

Almost surely, 218051120 is an apocalyptic number.

18051120 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 18051120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31828320).

18051120 is an abundant number, since it is smaller than the sum of its proper divisors (45605520).

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

18051120 is a wasteful number, since it uses less digits than its factorization.

18051120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 18.

The square root of 18051120 is about 4248.6609655278. The cubic root of 18051120 is about 262.3220017777.

The spelling of 18051120 in words is "eighteen million, fifty-one thousand, one 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 61 72 80 90 108 120 122 135 137 144 180 183 216 240 244 270 274 305 360 366 411 432 488 540 548 549 610 685 720 732 822 915 976 1080 1096 1098 1220 1233 1370 1464 1644 1647 1830 2055 2160 2192 2196 2440 2466 2740 2745 2928 3288 3294 3660 3699 4110 4392 4880 4932 5480 5490 6165 6576 6588 7320 7398 8220 8235 8357 8784 9864 10960 10980 12330 13176 14640 14796 16440 16470 16714 18495 19728 21960 24660 25071 26352 29592 32880 32940 33428 36990 41785 43920 49320 50142 59184 65880 66856 73980 75213 83570 98640 100284 125355 131760 133712 147960 150426 167140 200568 225639 250710 295920 300852 334280 376065 401136 451278 501420 601704 668560 752130 902556 1002840 1128195 1203408 1504260 1805112 2005680 2256390 3008520 3610224 4512780 6017040 9025560 18051120