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18424840 = 2357232861
BaseRepresentation
bin100011001001…
…0010000001000
31021200002010111
41012102100020
514204043330
61454524104
7312415510
oct106222010
937602114
1018424840
11a444945
126206634
133a81495
142638840
15193e32a
hex1192408

18424840 has 64 divisors (see below), whose sum is σ = 49455360. Its totient is φ = 6040320.

The previous prime is 18424829. The next prime is 18424841. The reversal of 18424840 is 4842481.

It is not an unprimeable number, because it can be changed into a prime (18424841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5010 + ... + 7870.

It is an arithmetic number, because the mean of its divisors is an integer number (772740).

Almost surely, 218424840 is an apocalyptic number.

18424840 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 18424840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24727680).

18424840 is an abundant number, since it is smaller than the sum of its proper divisors (31030520).

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

18424840 is a wasteful number, since it uses less digits than its factorization.

18424840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2902 (or 2898 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 31.

The square root of 18424840 is about 4292.4165687873. The cubic root of 18424840 is about 264.1199714900.

The spelling of 18424840 in words is "eighteen million, four hundred twenty-four thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 23 28 35 40 46 56 70 92 115 140 161 184 230 280 322 460 644 805 920 1288 1610 2861 3220 5722 6440 11444 14305 20027 22888 28610 40054 57220 65803 80108 100135 114440 131606 160216 200270 263212 329015 400540 460621 526424 658030 801080 921242 1316060 1842484 2303105 2632120 3684968 4606210 9212420 18424840