Search a number
-
+
138294 = 23313197
BaseRepresentation
bin100001110000110110
321000201000
4201300312
513411134
62544130
71114122
oct416066
9230630
10138294
11949a2
1268046
134ac40
1438582
152ae99
hex21c36

138294 has 32 divisors (see below), whose sum is σ = 332640. Its totient is φ = 42336.

The previous prime is 138289. The next prime is 138311. The reversal of 138294 is 492831.

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

It is a Curzon number.

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 138294.

It is an unprimeable number.

138294 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 604 + ... + 800.

It is an arithmetic number, because the mean of its divisors is an integer number (10395).

2138294 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138294, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166320).

138294 is an abundant number, since it is smaller than the sum of its proper divisors (194346).

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

138294 is a wasteful number, since it uses less digits than its factorization.

138294 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 215 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 138294 is about 371.8790125834. The cubic root of 138294 is about 51.7131642927.

The spelling of 138294 in words is "one hundred thirty-eight thousand, two hundred ninety-four".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 197 234 351 394 591 702 1182 1773 2561 3546 5122 5319 7683 10638 15366 23049 46098 69147 138294