Search a number
-
+
135503665 = 5112972309
BaseRepresentation
bin10000001001110…
…01111100110001
3100102222022002021
420010321330301
5234142104130
621240151441
73233522263
oct1004717461
9312868067
10135503665
116a540a00
1239468581
13220c48ab
1413dd3b33
15bd6937a
hex8139f31

135503665 has 24 divisors (see below), whose sum is σ = 180651240. Its totient is φ = 97489920.

The previous prime is 135503663. The next prime is 135503701. The reversal of 135503665 is 566305531.

It can be written as a sum of positive squares in 4 ways, for example, as 28815424 + 106688241 = 5368^2 + 10329^2 .

It is not a de Polignac number, because 135503665 - 21 = 135503663 is a prime.

It is a super-2 number, since 2×1355036652 = 36722486456864450, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 135503665.

It is not an unprimeable number, because it can be changed into a prime (135503663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57531 + ... + 59839.

It is an arithmetic number, because the mean of its divisors is an integer number (7527135).

Almost surely, 2135503665 is an apocalyptic number.

It is an amenable number.

135503665 is a deficient number, since it is larger than the sum of its proper divisors (45147575).

135503665 is a wasteful number, since it uses less digits than its factorization.

135503665 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2433 (or 2422 counting only the distinct ones).

The product of its (nonzero) digits is 40500, while the sum is 34.

The square root of 135503665 is about 11640.6041509880. The cubic root of 135503665 is about 513.6299589497.

The spelling of 135503665 in words is "one hundred thirty-five million, five hundred three thousand, six hundred sixty-five".

Divisors: 1 5 11 55 97 121 485 605 1067 2309 5335 11545 11737 25399 58685 126995 223973 279389 1119865 1396945 2463703 12318515 27100733 135503665