Search a number
-
+
23272137 = 337592087
BaseRepresentation
bin101100011000…
…1101011001001
31121210100101000
41120301223021
521424202022
62150445213
7401544540
oct130615311
947710330
1023272137
1112155779
127963809
134a8a8c5
14313b157
15209a6ac
hex1631ac9

23272137 has 32 divisors (see below), whose sum is σ = 40089600. Its totient is φ = 13066704.

The previous prime is 23272127. The next prime is 23272157. The reversal of 23272137 is 73127232.

It is a happy number.

It is not a de Polignac number, because 23272137 - 27 = 23272009 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 23272137.

It is not an unprimeable number, because it can be changed into a prime (23272127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10108 + ... + 12194.

It is an arithmetic number, because the mean of its divisors is an integer number (1252800).

Almost surely, 223272137 is an apocalyptic number.

23272137 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

23272137 is a deficient number, since it is larger than the sum of its proper divisors (16817463).

23272137 is a wasteful number, since it uses less digits than its factorization.

23272137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2162 (or 2156 counting only the distinct ones).

The product of its digits is 3528, while the sum is 27.

The square root of 23272137 is about 4824.1203343200. The cubic root of 23272137 is about 285.5039283885.

Adding to 23272137 its reverse (73127232), we get a palindrome (96399369).

It can be divided in two parts, 23272 and 137, that added together give a square (23409 = 1532).

The spelling of 23272137 in words is "twenty-three million, two hundred seventy-two thousand, one hundred thirty-seven".

Divisors: 1 3 7 9 21 27 59 63 177 189 413 531 1239 1593 2087 3717 6261 11151 14609 18783 43827 56349 123133 131481 369399 394443 861931 1108197 2585793 3324591 7757379 23272137