Search a number
-
+
135444232 = 237211101311
BaseRepresentation
bin10000001001010…
…11011100001000
3100102212021120001
420010223130020
5234133203412
621235012344
73233154100
oct1004533410
9312767501
10135444232
116a500290
123943a0b4
13220a3821
1413dba200
15bd56957
hex812b708

135444232 has 96 divisors (see below), whose sum is σ = 326514240. Its totient is φ = 52080000.

The previous prime is 135444227. The next prime is 135444233. The reversal of 135444232 is 232444531.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 135444232.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135444233) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 435357 + ... + 435667.

It is an arithmetic number, because the mean of its divisors is an integer number (3401190).

Almost surely, 2135444232 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 135444232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163257120).

135444232 is an abundant number, since it is smaller than the sum of its proper divisors (191070008).

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

135444232 is a wasteful number, since it uses less digits than its factorization.

135444232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443 (or 432 counting only the distinct ones).

The product of its digits is 11520, while the sum is 28.

The square root of 135444232 is about 11638.0510395856. The cubic root of 135444232 is about 513.5548538876.

Adding to 135444232 its reverse (232444531), we get a palindrome (367888763).

The spelling of 135444232 in words is "one hundred thirty-five million, four hundred forty-four thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 11 14 22 28 44 49 56 77 88 98 101 154 196 202 308 311 392 404 539 616 622 707 808 1078 1111 1244 1414 2156 2177 2222 2488 2828 3421 4312 4354 4444 4949 5656 6842 7777 8708 8888 9898 13684 15239 15554 17416 19796 23947 27368 30478 31108 31411 39592 47894 54439 60956 62216 62822 95788 108878 121912 125644 167629 191576 217756 219877 251288 335258 345521 435512 439754 670516 691042 879508 1341032 1382084 1539139 1759016 2418647 2764168 3078278 4837294 6156556 9674588 12313112 16930529 19349176 33861058 67722116 135444232