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135384444 = 223213289283
BaseRepresentation
bin10000001000111…
…00110101111100
3100102202020112200
420010130311330
5234124300234
621233431500
73232514556
oct1004346574
9312666480
10135384444
116a46a378
123940b590
1322082550
1413da24d6
15bd43d99
hex811cd7c

135384444 has 36 divisors (see below), whose sum is σ = 368547816. Its totient is φ = 41656608.

The previous prime is 135384391. The next prime is 135384449. The reversal of 135384444 is 444483531.

135384444 is a `hidden beast` number, since 135 + 3 + 84 + 444 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 135384399 and 135384408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135384449) 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 11 ways as a sum of consecutive naturals, for example, 144174 + ... + 145109.

Almost surely, 2135384444 is an apocalyptic number.

It is an amenable number.

135384444 is an abundant number, since it is smaller than the sum of its proper divisors (233163372).

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

135384444 is a wasteful number, since it uses less digits than its factorization.

135384444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289306 (or 289301 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

The square root of 135384444 is about 11635.4821129165. The cubic root of 135384444 is about 513.4792780433.

The spelling of 135384444 in words is "one hundred thirty-five million, three hundred eighty-four thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 289283 578566 867849 1157132 1735698 2603547 3471396 3760679 5207094 7521358 10414188 11282037 15042716 22564074 33846111 45128148 67692222 135384444