Search a number
-
+
135917388 = 223223915797
BaseRepresentation
bin10000001100111…
…10111101001100
3100110202022121100
420012132331030
5234243324023
621253103100
73240164415
oct1006367514
9313668540
10135917388
116a7a3822
1239627a90
132220acb9
14140a080c
15bdebc43
hex819ef4c

135917388 has 36 divisors (see below), whose sum is σ = 345028320. Its totient is φ = 45113376.

The previous prime is 135917381. The next prime is 135917407. The reversal of 135917388 is 883719531.

135917388 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (135917381) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 706 + ... + 16502.

It is an arithmetic number, because the mean of its divisors is an integer number (9584120).

Almost surely, 2135917388 is an apocalyptic number.

135917388 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

135917388 is an abundant number, since it is smaller than the sum of its proper divisors (209110932).

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

135917388 is a wasteful number, since it uses less digits than its factorization.

135917388 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16046 (or 16041 counting only the distinct ones).

The product of its digits is 181440, while the sum is 45.

The square root of 135917388 is about 11658.3612913651. The cubic root of 135917388 is about 514.1521702199.

The spelling of 135917388 in words is "one hundred thirty-five million, nine hundred seventeen thousand, three hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 239 478 717 956 1434 2151 2868 4302 8604 15797 31594 47391 63188 94782 142173 189564 284346 568692 3775483 7550966 11326449 15101932 22652898 33979347 45305796 67958694 135917388