Search a number
-
+
135343935 = 32519592683
BaseRepresentation
bin10000001000100…
…10111100111111
3100102200011222100
420010102330333
5234122001220
621232520143
73232255506
oct1004227477
9312604870
10135343935
116a4419a1
12393b0053
1322069c8c
1413d9183d
15bd36d90
hex8112f3f

135343935 has 48 divisors (see below), whose sum is σ = 251222400. Its totient is φ = 67200192.

The previous prime is 135343921. The next prime is 135343961. The reversal of 135343935 is 539343531.

135343935 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 135343935 - 25 = 135343903 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 135343935.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49104 + ... + 51786.

It is an arithmetic number, because the mean of its divisors is an integer number (5233800).

Almost surely, 2135343935 is an apocalyptic number.

135343935 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

135343935 is a deficient number, since it is larger than the sum of its proper divisors (115878465).

135343935 is a wasteful number, since it uses less digits than its factorization.

135343935 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2772 (or 2769 counting only the distinct ones).

The product of its digits is 72900, while the sum is 36.

The square root of 135343935 is about 11633.7412297163. The cubic root of 135343935 is about 513.4280594385.

The spelling of 135343935 in words is "one hundred thirty-five million, three hundred forty-three thousand, nine hundred thirty-five".

Divisors: 1 3 5 9 15 19 45 57 59 95 171 177 285 295 531 855 885 1121 2655 2683 3363 5605 8049 10089 13415 16815 24147 40245 50445 50977 120735 152931 158297 254885 458793 474891 764655 791485 1424673 2293965 2374455 3007643 7123365 9022929 15038215 27068787 45114645 135343935