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32084 = 2213617
BaseRepresentation
bin111110101010100
31122000022
413311110
52011314
6404312
7162353
oct76524
948008
1032084
1122118
1216698
13117b0
14b99a
15978e
hex7d54

32084 has 12 divisors (see below), whose sum is σ = 60564. Its totient is φ = 14784.

The previous prime is 32083. The next prime is 32089. The reversal of 32084 is 48023.

It can be divided in two parts, 320 and 84, that added together give a palindrome (404).

It can be written as a sum of positive squares in 2 ways, for example, as 2500 + 29584 = 50^2 + 172^2 .

It is an Ulam number.

It is a zygodrome in base 3.

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 32084.

It is not an unprimeable number, because it can be changed into a prime (32083) 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, 257 + ... + 360.

It is an arithmetic number, because the mean of its divisors is an integer number (5047).

232084 is an apocalyptic number.

It is an amenable number.

32084 is a deficient number, since it is larger than the sum of its proper divisors (28480).

32084 is a wasteful number, since it uses less digits than its factorization.

32084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634 (or 632 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 32084 is about 179.1200714605. The cubic root of 32084 is about 31.7757762861.

The spelling of 32084 in words is "thirty-two thousand, eighty-four".

Divisors: 1 2 4 13 26 52 617 1234 2468 8021 16042 32084