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84054 = 2314009
BaseRepresentation
bin10100100001010110
311021022010
4110201112
510142204
61445050
7500025
oct244126
9137263
1084054
1158173
1240786
132c349
14228bc
1519d89
hex14856

84054 has 8 divisors (see below), whose sum is σ = 168120. Its totient is φ = 28016.

The previous prime is 84053. The next prime is 84059. The reversal of 84054 is 45048.

It is a sphenic number, since it is the product of 3 distinct primes.

84054 is an admirable number.

It is a Curzon number.

It is a plaindrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 84054.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 84054.

It is not an unprimeable number, because it can be changed into a prime (84053) 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 3 ways as a sum of consecutive naturals, for example, 6999 + ... + 7010.

It is an arithmetic number, because the mean of its divisors is an integer number (21015).

284054 is an apocalyptic number.

84054 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84060).

84054 is a wasteful number, since it uses less digits than its factorization.

84054 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14014.

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 84054 is about 289.9206788072. The cubic root of 84054 is about 43.8045740725.

The spelling of 84054 in words is "eighty-four thousand, fifty-four".

Divisors: 1 2 3 6 14009 28018 42027 84054