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18000840 = 233511131049
BaseRepresentation
bin100010010101…
…0101111001000
31020212112111210
41010222233020
514102011330
61441453120
7306001404
oct104525710
936775453
1018000840
11a185330
1260411a0
1339634b0
142568104
1518a88b0
hex112abc8

18000840 has 128 divisors (see below), whose sum is σ = 63504000. Its totient is φ = 4024320.

The previous prime is 18000821. The next prime is 18000869. The reversal of 18000840 is 4800081.

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 31 ways as a sum of consecutive naturals, for example, 16636 + ... + 17684.

It is an arithmetic number, because the mean of its divisors is an integer number (496125).

Almost surely, 218000840 is an apocalyptic number.

18000840 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 18000840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31752000).

18000840 is an abundant number, since it is smaller than the sum of its proper divisors (45503160).

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

18000840 is a wasteful number, since it uses less digits than its factorization.

18000840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1087 (or 1083 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 18000840 is about 4242.7396809137. The cubic root of 18000840 is about 262.0782160663.

The spelling of 18000840 in words is "eighteen million, eight hundred forty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 10 11 12 13 15 20 22 24 26 30 33 39 40 44 52 55 60 65 66 78 88 104 110 120 130 132 143 156 165 195 220 260 264 286 312 330 390 429 440 520 572 660 715 780 858 1049 1144 1320 1430 1560 1716 2098 2145 2860 3147 3432 4196 4290 5245 5720 6294 8392 8580 10490 11539 12588 13637 15735 17160 20980 23078 25176 27274 31470 34617 40911 41960 46156 54548 57695 62940 68185 69234 81822 92312 109096 115390 125880 136370 138468 150007 163644 173085 204555 230780 272740 276936 300014 327288 346170 409110 450021 461560 545480 600028 692340 750035 818220 900042 1200056 1384680 1500070 1636440 1800084 2250105 3000140 3600168 4500210 6000280 9000420 18000840