Search a number
-
+
20237 = 7359
BaseRepresentation
bin100111100001101
31000202112
410330031
51121422
6233405
7113000
oct47415
930675
1020237
1114228
12b865
139299
147537
155ee2
hex4f0d

20237 has 8 divisors (see below), whose sum is σ = 24000. Its totient is φ = 17052.

The previous prime is 20233. The next prime is 20249. The reversal of 20237 is 73202.

Adding to 20237 its reverse (73202), we get a palindrome (93439).

It can be divided in two parts, 2023 and 7, that multiplied together give a square (14161 = 1192).

It is not a de Polignac number, because 20237 - 22 = 20233 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 12.

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 20237.

It is not an unprimeable number, because it can be changed into a prime (20231) 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, 314 + ... + 372.

It is an arithmetic number, because the mean of its divisors is an integer number (3000).

220237 is an apocalyptic number.

It is an amenable number.

20237 is a deficient number, since it is larger than the sum of its proper divisors (3763).

20237 is an frugal number, since it uses more digits than its factorization.

20237 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 66 counting only the distinct ones).

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

The square root of 20237 is about 142.2568100303. The cubic root of 20237 is about 27.2509749111.

The spelling of 20237 in words is "twenty thousand, two hundred thirty-seven".

Divisors: 1 7 49 59 343 413 2891 20237