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18075960 = 233457797
BaseRepresentation
bin100010011110…
…1000100111000
31021000100120000
41010331010320
514111412320
61443233000
7306433410
oct104750470
937010500
1018075960
11a226811
126078760
13398b746
142587640
1518c0c90
hex113d138

18075960 has 160 divisors (see below), whose sum is σ = 69521760. Its totient is φ = 4126464.

The previous prime is 18075949. The next prime is 18075991. The reversal of 18075960 is 6957081.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 22282 + ... + 23078.

It is an arithmetic number, because the mean of its divisors is an integer number (434511).

Almost surely, 218075960 is an apocalyptic number.

18075960 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 18075960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34760880).

18075960 is an abundant number, since it is smaller than the sum of its proper divisors (51445800).

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

18075960 is a wasteful number, since it uses less digits than its factorization.

18075960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 827 (or 814 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 18075960 is about 4251.5832345139. The cubic root of 18075960 is about 262.4422730203.

The spelling of 18075960 in words is "eighteen million, seventy-five thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 27 28 30 35 36 40 42 45 54 56 60 63 70 72 81 84 90 105 108 120 126 135 140 162 168 180 189 210 216 252 270 280 315 324 360 378 405 420 504 540 567 630 648 756 797 810 840 945 1080 1134 1260 1512 1594 1620 1890 2268 2391 2520 2835 3188 3240 3780 3985 4536 4782 5579 5670 6376 7173 7560 7970 9564 11158 11340 11955 14346 15940 16737 19128 21519 22316 22680 23910 27895 28692 31880 33474 35865 43038 44632 47820 50211 55790 57384 64557 66948 71730 83685 86076 95640 100422 107595 111580 129114 133896 143460 150633 167370 172152 200844 215190 223160 251055 258228 286920 301266 322785 334740 401688 430380 451899 502110 516456 602532 645570 669480 753165 860760 903798 1004220 1205064 1291140 1506330 1807596 2008440 2259495 2582280 3012660 3615192 4518990 6025320 9037980 18075960