Base | Representation |
---|---|
bin | 10000001010011… |
… | …10111111100100 |
3 | 100110010200022200 |
4 | 20011032333210 |
5 | 234202333420 |
6 | 21242054500 |
7 | 3234331500 |
oct | 1005167744 |
9 | 313120280 |
10 | 135589860 |
11 | 6a59a73a |
12 | 394aa430 |
13 | 22124bb3 |
14 | 14017300 |
15 | bd84b90 |
hex | 814efe4 |
135589860 has 108 divisors (see below), whose sum is σ = 478469628. Its totient is φ = 30989952.
The previous prime is 135589837. The next prime is 135589873. The reversal of 135589860 is 68985531.
135589860 is a `hidden beast` number, since 1 + 3 + 5 + 589 + 8 + 60 = 666.
135589860 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 2 ways, for example, as 19079424 + 116510436 = 4368^2 + 10794^2 .
It is a super-2 number, since 2×1355898602 = 36769220269639200, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (45).
It is an unprimeable number.
It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1134 + ... + 16506.
Almost surely, 2135589860 is an apocalyptic number.
135589860 is a gapful number since it is divisible by the number (10) 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 135589860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239234814).
135589860 is an abundant number, since it is smaller than the sum of its proper divisors (342879768).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
135589860 is a wasteful number, since it uses less digits than its factorization.
135589860 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 15402 (or 15390 counting only the distinct ones).
The product of its (nonzero) digits is 259200, while the sum is 45.
The square root of 135589860 is about 11644.3059046042. The cubic root of 135589860 is about 513.7388439512.
The spelling of 135589860 in words is "one hundred thirty-five million, five hundred eighty-nine thousand, eight hundred sixty".
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