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18283920 = 2435293771
BaseRepresentation
bin100010110111…
…1110110010000
31021101220211020
41011233312100
514140041140
61451515440
7311260614
oct105576620
937356736
1018283920
11a358a86
126158b80
133a322b5
1425dd344
1519126d0
hex116fd90

18283920 has 160 divisors (see below), whose sum is σ = 61067520. Its totient is φ = 4515840.

The previous prime is 18283913. The next prime is 18283927. The reversal of 18283920 is 2938281.

It is an interprime number because it is at equal distance from previous prime (18283913) and next prime (18283927).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18283927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 257485 + ... + 257555.

It is an arithmetic number, because the mean of its divisors is an integer number (381672).

Almost surely, 218283920 is an apocalyptic number.

18283920 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 18283920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30533760).

18283920 is an abundant number, since it is smaller than the sum of its proper divisors (42783600).

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

18283920 is a wasteful number, since it uses less digits than its factorization.

18283920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 18283920 is about 4275.9700653770. The cubic root of 18283920 is about 263.4448849965. Note that the first 3 decimals are identical.

The spelling of 18283920 in words is "eighteen million, two hundred eighty-three thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 37 40 48 58 60 71 74 80 87 111 116 120 142 145 148 174 185 213 222 232 240 284 290 296 348 355 370 426 435 444 464 555 568 580 592 696 710 740 852 870 888 1065 1073 1110 1136 1160 1392 1420 1480 1704 1740 1776 2059 2130 2146 2220 2320 2627 2840 2960 3219 3408 3480 4118 4260 4292 4440 5254 5365 5680 6177 6438 6960 7881 8236 8520 8584 8880 10295 10508 10730 12354 12876 13135 15762 16095 16472 17040 17168 20590 21016 21460 24708 25752 26270 30885 31524 32190 32944 39405 41180 42032 42920 49416 51504 52540 61770 63048 64380 76183 78810 82360 85840 98832 105080 123540 126096 128760 152366 157620 164720 210160 228549 247080 257520 304732 315240 380915 457098 494160 609464 630480 761830 914196 1142745 1218928 1523660 1828392 2285490 3047320 3656784 4570980 6094640 9141960 18283920