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20537 = 111867
BaseRepresentation
bin101000000111001
31001011122
411000321
51124122
6235025
7113606
oct50071
931148
1020537
1114480
12ba75
13946a
1476ad
156142
hex5039

20537 has 4 divisors (see below), whose sum is σ = 22416. Its totient is φ = 18660.

The previous prime is 20533. The next prime is 20543. The reversal of 20537 is 73502.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 20537 - 22 = 20533 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 12.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 20537.

It is not an unprimeable number, because it can be changed into a prime (20533) 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, 923 + ... + 944.

It is an arithmetic number, because the mean of its divisors is an integer number (5604).

220537 is an apocalyptic number.

It is an amenable number.

20537 is a deficient number, since it is larger than the sum of its proper divisors (1879).

20537 is a wasteful number, since it uses less digits than its factorization.

20537 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1878.

The product of its (nonzero) digits is 210, while the sum is 17.

The square root of 20537 is about 143.3073619881. The cubic root of 20537 is about 27.3849740905.

It can be divided in two parts, 205 and 37, that added together give a palindrome (242).

The spelling of 20537 in words is "twenty thousand, five hundred thirty-seven".

Divisors: 1 11 1867 20537