Search a number
-
+
73236 = 22317359
BaseRepresentation
bin10001111000010100
310201110110
4101320110
54320421
61323020
7423342
oct217024
9121413
1073236
1150029
1236470
1327447
141c992
1516a76
hex11e14

73236 has 24 divisors (see below), whose sum is σ = 181440. Its totient is φ = 22912.

The previous prime is 73189. The next prime is 73237. The reversal of 73236 is 63237.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73237) by changing a digit.

73236 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 7 ways as a sum of consecutive naturals, for example, 25 + ... + 383.

It is an arithmetic number, because the mean of its divisors is an integer number (7560).

273236 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73236, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90720).

73236 is an abundant number, since it is smaller than the sum of its proper divisors (108204).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

73236 is a wasteful number, since it uses less digits than its factorization.

73236 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 381 counting only the distinct ones).

The product of its digits is 756, while the sum is 21.

The square root of 73236 is about 270.6215069059. The cubic root of 73236 is about 41.8383811450.

Subtracting from 73236 its reverse (63237), we obtain a palindrome (9999).

The spelling of 73236 in words is "seventy-three thousand, two hundred thirty-six".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 359 718 1077 1436 2154 4308 6103 12206 18309 24412 36618 73236