Search a number
-
+
135021042 = 2321329101197
BaseRepresentation
bin10000000110001…
…00000111110010
3100102001210001100
420003010013302
5234031133132
621221545230
73226442232
oct1003040762
9312053040
10135021042
116a241342
1239275216
1321c86010
1413d09cc2
15bcc137c
hex80c41f2

135021042 has 96 divisors (see below), whose sum is σ = 330810480. Its totient is φ = 39513600.

The previous prime is 135021037. The next prime is 135021043. The reversal of 135021042 is 240120531.

It can be written as a sum of positive squares in 8 ways, for example, as 118788201 + 16232841 = 10899^2 + 4029^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (135021043) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 685288 + ... + 685484.

Almost surely, 2135021042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135021042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165405240).

135021042 is an abundant number, since it is smaller than the sum of its proper divisors (195789438).

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

135021042 is a wasteful number, since it uses less digits than its factorization.

135021042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 135021042 is about 11619.8555068469. The cubic root of 135021042 is about 513.0194354435.

Adding to 135021042 its reverse (240120531), we get a palindrome (375141573).

The spelling of 135021042 in words is "one hundred thirty-five million, twenty-one thousand, forty-two".

Divisors: 1 2 3 6 9 13 18 26 29 39 58 78 87 101 117 174 197 202 234 261 303 377 394 522 591 606 754 909 1131 1182 1313 1773 1818 2262 2561 2626 2929 3393 3546 3939 5122 5713 5858 6786 7683 7878 8787 11426 11817 15366 17139 17574 19897 23049 23634 26361 34278 38077 39794 46098 51417 52722 59691 74269 76154 102834 114231 119382 148538 179073 222807 228462 258661 342693 358146 445614 517322 577013 668421 685386 775983 1154026 1336842 1551966 1731039 2327949 3462078 4655898 5193117 7501169 10386234 15002338 22503507 45007014 67510521 135021042