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33027 = 3101109
BaseRepresentation
bin1000000100000011
31200022020
420010003
52024102
6412523
7165201
oct100403
950266
1033027
11228a5
1217143
1312057
14c071
159bbc
hex8103

33027 has 8 divisors (see below), whose sum is σ = 44880. Its totient is φ = 21600.

The previous prime is 33023. The next prime is 33029. The reversal of 33027 is 72033.

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

It is not a de Polignac number, because 33027 - 22 = 33023 is a prime.

It is a Smith number, since the sum of its digits (15) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a d-powerful number, because it can be written as 32 + 35 + 0 + 215 + 7 .

33027 is a lucky number.

It is a plaindrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 32997 and 33015.

It is not an unprimeable number, because it can be changed into a prime (33023) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 249 + ... + 357.

It is an arithmetic number, because the mean of its divisors is an integer number (5610).

233027 is an apocalyptic number.

33027 is a deficient number, since it is larger than the sum of its proper divisors (11853).

33027 is a wasteful number, since it uses less digits than its factorization.

33027 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213.

The product of its (nonzero) digits is 126, while the sum is 15.

The square root of 33027 is about 181.7333211054. The cubic root of 33027 is about 32.0840887362.

Adding to 33027 its product of nonzero digits (126), we get a triangular number (33153 = T257).

The spelling of 33027 in words is "thirty-three thousand, twenty-seven".

Divisors: 1 3 101 109 303 327 11009 33027