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32053 = 719241
BaseRepresentation
bin111110100110101
31121222011
413310311
52011203
6404221
7162310
oct76465
947864
1032053
112209a
1216671
1311788
14b977
15976d
hex7d35

32053 has 8 divisors (see below), whose sum is σ = 38720. Its totient is φ = 25920.

The previous prime is 32051. The next prime is 32057. The reversal of 32053 is 35023.

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

It is a cyclic number.

It is not a de Polignac number, because 32053 - 21 = 32051 is a prime.

It is a Duffinian number.

32053 is a lucky number.

It is a plaindrome in base 13.

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32051) 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, 13 + ... + 253.

It is an arithmetic number, because the mean of its divisors is an integer number (4840).

232053 is an apocalyptic number.

It is an amenable number.

32053 is a deficient number, since it is larger than the sum of its proper divisors (6667).

32053 is a wasteful number, since it uses less digits than its factorization.

32053 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267.

The product of its (nonzero) digits is 90, while the sum is 13.

The square root of 32053 is about 179.0335164152. The cubic root of 32053 is about 31.7655389249.

Adding to 32053 its reverse (35023), we get a palindrome (67076).

It can be divided in two parts, 320 and 53, that added together give a palindrome (373).

The spelling of 32053 in words is "thirty-two thousand, fifty-three".

Divisors: 1 7 19 133 241 1687 4579 32053