Search a number
-
+
20037 = 36679
BaseRepresentation
bin100111001000101
31000111010
410321011
51120122
6232433
7112263
oct47105
930433
1020037
1114066
12b719
139174
147433
155e0c
hex4e45

20037 has 4 divisors (see below), whose sum is σ = 26720. Its totient is φ = 13356.

The previous prime is 20029. The next prime is 20047. The reversal of 20037 is 73002.

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 not a de Polignac number, because 20037 - 23 = 20029 is a prime.

It is a D-number.

It is a Duffinian number.

20037 is a modest number, since divided by 37 gives 20 as remainder.

It is a nialpdrome in base 14.

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 20037.

It is not an unprimeable number, because it can be changed into a prime (20047) 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, 3337 + ... + 3342.

It is an arithmetic number, because the mean of its divisors is an integer number (6680).

220037 is an apocalyptic number.

It is an amenable number.

20037 is a deficient number, since it is larger than the sum of its proper divisors (6683).

20037 is an equidigital number, since it uses as much as digits as its factorization.

20037 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6682.

The product of its (nonzero) digits is 42, while the sum is 12.

The square root of 20037 is about 141.5521105459. The cubic root of 20037 is about 27.1609047629.

Adding to 20037 its reverse (73002), we get a palindrome (93039).

The spelling of 20037 in words is "twenty thousand, thirty-seven".

Divisors: 1 3 6679 20037