Search a number
-
+
135044 = 22721353
BaseRepresentation
bin100000111110000100
320212020122
4200332010
513310134
62521112
71101500
oct407604
9225218
10135044
1192508
1266198
1349610
1437300
152a02e
hex20f84

135044 has 36 divisors (see below), whose sum is σ = 301644. Its totient is φ = 52416.

The previous prime is 135043. The next prime is 135049. The reversal of 135044 is 440531.

It can be written as a sum of positive squares in 2 ways, for example, as 56644 + 78400 = 238^2 + 280^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135043) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 2522 + ... + 2574.

It is an arithmetic number, because the mean of its divisors is an integer number (8379).

2135044 is an apocalyptic number.

135044 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150822).

135044 is an abundant number, since it is smaller than the sum of its proper divisors (166600).

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

135044 is a wasteful number, since it uses less digits than its factorization.

135044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 135044 is about 367.4833329554. The cubic root of 135044 is about 51.3048510499.

Adding to 135044 its reverse (440531), we get a palindrome (575575).

The spelling of 135044 in words is "one hundred thirty-five thousand, forty-four".

Divisors: 1 2 4 7 13 14 26 28 49 52 53 91 98 106 182 196 212 364 371 637 689 742 1274 1378 1484 2548 2597 2756 4823 5194 9646 10388 19292 33761 67522 135044