| Base | Representation |
|---|---|
| bin | 10000001010011… |
| … | …01000101100000 |
| 3 | 100110010021121100 |
| 4 | 20011031011200 |
| 5 | 234202111143 |
| 6 | 21241554400 |
| 7 | 3234266640 |
| oct | 1005150540 |
| 9 | 313107540 |
| 10 | 135582048 |
| 11 | 6a594888 |
| 12 | 394a5a00 |
| 13 | 22121484 |
| 14 | 14014520 |
| 15 | bd826d3 |
| hex | 814d160 |
135582048 has 144 divisors (see below), whose sum is σ = 445404960. Its totient is φ = 38320128.
The previous prime is 135582037. The next prime is 135582049. The reversal of 135582048 is 840285531.
It is a happy number.
135582048 is a `hidden beast` number, since 1 + 35 + 582 + 0 + 48 = 666.
It is a tau number, because it is divible by the number of its divisors (144).
It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (135582049) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 219436 + ... + 220052.
It is an arithmetic number, because the mean of its divisors is an integer number (3093090).
Almost surely, 2135582048 is an apocalyptic number.
135582048 is a gapful number since it is divisible by the number (18) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 135582048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222702480).
135582048 is an abundant number, since it is smaller than the sum of its proper divisors (309822912).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
135582048 is a wasteful number, since it uses less digits than its factorization.
135582048 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 749 (or 738 counting only the distinct ones).
The product of its (nonzero) digits is 38400, while the sum is 36.
The square root of 135582048 is about 11643.9704568502. The cubic root of 135582048 is about 513.7289774196.
The spelling of 135582048 in words is "one hundred thirty-five million, five hundred eighty-two thousand, forty-eight".
• e-mail: info -at- numbersaplenty.com • Privacy notice • done in 0.073 sec. • engine limits •