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27032 = 2331109

27032 has 16 divisors (see below), whose sum is σ = 52800. Its totient is φ = 12960.

The previous prime is 27031. The next prime is 27043. The reversal of 27032 is 23072.

It is an alternating number because its digits alternate between even and odd.

It is a plaindrome in base 12 and base 14.

It is a junction number, because it is equal to n+sod(n) for n = 26998 and 27016.

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 27032.

It is not an unprimeable number, because it can be changed into a prime (27031) 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, 194 + ... + 302.

It is an arithmetic number, because the mean of its divisors is an integer number (3300).

227032 is an apocalyptic number.

It is an amenable number.

27032 is a deficient number, since it is larger than the sum of its proper divisors (25768).

27032 is a wasteful number, since it uses less digits than its factorization.

27032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 14.

The square root of 27032 is about 164.4141113165. The cubic root of 27032 is about 30.0118471727.

The spelling of 27032 in words is "twenty-seven thousand, thirty-two".

Divisors: 1 2 4 8 31 62 109 124 218 248 436 872 3379 6758 13516 27032