Search a number
-
+
13235742 = 23213219229
BaseRepresentation
bin110010011111…
…011000011110
3220220110000200
4302133120132
511342020432
61151404330
7220334112
oct62373036
926813020
1013235742
117520233
1245236a6
132985600
141a87742
151266a7c
hexc9f61e

13235742 has 72 divisors (see below), whose sum is σ = 32830200. Its totient is φ = 3841344.

The previous prime is 13235737. The next prime is 13235753. The reversal of 13235742 is 24753231.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 57684 + ... + 57912.

It is an arithmetic number, because the mean of its divisors is an integer number (455975).

Almost surely, 213235742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13235742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16415100).

13235742 is an abundant number, since it is smaller than the sum of its proper divisors (19594458).

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

13235742 is a wasteful number, since it uses less digits than its factorization.

13235742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 266 counting only the distinct ones).

The product of its digits is 5040, while the sum is 27.

The square root of 13235742 is about 3638.0959305659. The cubic root of 13235742 is about 236.5462664274.

Adding to 13235742 its reverse (24753231), we get a palindrome (37988973).

The spelling of 13235742 in words is "thirteen million, two hundred thirty-five thousand, seven hundred forty-two".

Divisors: 1 2 3 6 9 13 18 19 26 38 39 57 78 114 117 169 171 229 234 247 338 342 458 494 507 687 741 1014 1374 1482 1521 2061 2223 2977 3042 3211 4122 4351 4446 5954 6422 8702 8931 9633 13053 17862 19266 26106 26793 28899 38701 39159 53586 56563 57798 77402 78318 113126 116103 169689 232206 339378 348309 509067 696618 735319 1018134 1470638 2205957 4411914 6617871 13235742