Search a number
-
+
135716436 = 22323769901
BaseRepresentation
bin10000001011011…
…01111001010100
3100110101002221200
420011231321110
5234220411221
621244512500
73235366512
oct1005557124
9313332850
10135716436
116a676849
123954b730
132216a6ab
141404b4b2
15bdac426
hex816de54

135716436 has 18 divisors (see below), whose sum is σ = 343061082. Its totient is φ = 45238800.

The previous prime is 135716431. The next prime is 135716467. The reversal of 135716436 is 634617531.

135716436 is a `hidden beast` number, since 1 + 3 + 5 + 7 + 1 + 643 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 131331600 + 4384836 = 11460^2 + 2094^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 3769901 = 135716436 / (1 + 3 + 5 + 7 + 1 + 6 + 4 + 3 + 6).

It is a self number, because there is not a number n which added to its sum of digits gives 135716436.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135716431) 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 5 ways as a sum of consecutive naturals, for example, 1884915 + ... + 1884986.

It is an arithmetic number, because the mean of its divisors is an integer number (19058949).

Almost surely, 2135716436 is an apocalyptic number.

It is an amenable number.

135716436 is an abundant number, since it is smaller than the sum of its proper divisors (207344646).

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

135716436 is a wasteful number, since it uses less digits than its factorization.

135716436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3769911 (or 3769906 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The square root of 135716436 is about 11649.7397395822. The cubic root of 135716436 is about 513.8986562550.

The spelling of 135716436 in words is "one hundred thirty-five million, seven hundred sixteen thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 36 3769901 7539802 11309703 15079604 22619406 33929109 45238812 67858218 135716436