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18534016 = 27294993
BaseRepresentation
bin100011010110…
…0111010000000
31021212121220001
41012230322000
514221042031
61501125344
7313352014
oct106547200
937777801
1018534016
11a509976
126259854
133abc097
142666544
151961861
hex11ace80

18534016 has 32 divisors (see below), whose sum is σ = 38204100. Its totient is φ = 8945664.

The previous prime is 18533993. The next prime is 18534017. The reversal of 18534016 is 61043581.

It can be written as a sum of positive squares in 2 ways, for example, as 18455616 + 78400 = 4296^2 + 280^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (18534017) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1216 + ... + 6208.

Almost surely, 218534016 is an apocalyptic number.

18534016 is a gapful number since it is divisible by the number (16) 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 18534016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19102050).

18534016 is an abundant number, since it is smaller than the sum of its proper divisors (19670084).

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

18534016 is an equidigital number, since it uses as much as digits as its factorization.

18534016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5036 (or 5024 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 18534016 is about 4305.1150971838. The cubic root of 18534016 is about 264.6406235720.

Adding to 18534016 its reverse (61043581), we get a palindrome (79577597).

The spelling of 18534016 in words is "eighteen million, five hundred thirty-four thousand, sixteen".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 464 928 1856 3712 4993 9986 19972 39944 79888 144797 159776 289594 319552 579188 639104 1158376 2316752 4633504 9267008 18534016