Search a number
-
+
32055 = 352137
BaseRepresentation
bin111110100110111
31121222020
413310313
52011210
6404223
7162312
oct76467
947866
1032055
11220a1
1216673
131178a
14b979
159770
hex7d37

32055 has 8 divisors (see below), whose sum is σ = 51312. Its totient is φ = 17088.

The previous prime is 32051. The next prime is 32057. The reversal of 32055 is 55023.

32055 is nontrivially palindromic in base 8.

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

It is not a de Polignac number, because 32055 - 22 = 32051 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15), and also a Moran number because the ratio is a prime number: 2137 = 32055 / (3 + 2 + 0 + 5 + 5).

32055 is a lucky number.

It is a plaindrome in base 13.

It is a nialpdrome in base 15.

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 32055.

It is not an unprimeable number, because it can be changed into a prime (32051) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1054 + ... + 1083.

It is an arithmetic number, because the mean of its divisors is an integer number (6414).

232055 is an apocalyptic number.

32055 is a deficient number, since it is larger than the sum of its proper divisors (19257).

32055 is a wasteful number, since it uses less digits than its factorization.

32055 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2145.

The product of its (nonzero) digits is 150, while the sum is 15.

The square root of 32055 is about 179.0391018744. The cubic root of 32055 is about 31.7661995989.

Adding to 32055 its reverse (55023), we get a palindrome (87078).

The spelling of 32055 in words is "thirty-two thousand, fifty-five".

Divisors: 1 3 5 15 2137 6411 10685 32055