Search a number
-
+
138292 = 22711449
BaseRepresentation
bin100001110000110100
321000200221
4201300310
513411132
62544124
71114120
oct416064
9230627
10138292
11949a0
1268044
134ac3b
1438580
152ae97
hex21c34

138292 has 24 divisors (see below), whose sum is σ = 302400. Its totient is φ = 53760.

The previous prime is 138289. The next prime is 138311. The reversal of 138292 is 292831.

It is a congruent number.

It is an unprimeable 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, 84 + ... + 532.

It is an arithmetic number, because the mean of its divisors is an integer number (12600).

2138292 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 138292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151200).

138292 is an abundant number, since it is smaller than the sum of its proper divisors (164108).

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

138292 is a wasteful number, since it uses less digits than its factorization.

138292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471 (or 469 counting only the distinct ones).

The product of its digits is 864, while the sum is 25.

The square root of 138292 is about 371.8763235271. The cubic root of 138292 is about 51.7129150006.

It can be divided in two parts, 13829 and 2, that added together give a palindrome (13831).

The spelling of 138292 in words is "one hundred thirty-eight thousand, two hundred ninety-two".

Divisors: 1 2 4 7 11 14 22 28 44 77 154 308 449 898 1796 3143 4939 6286 9878 12572 19756 34573 69146 138292