Base | Representation |
---|---|
bin | 10000001000011… |
… | …11111001100000 |
3 | 100102122112210222 |
4 | 20010033321200 |
5 | 234121101144 |
6 | 21232342212 |
7 | 3232204154 |
oct | 1004177140 |
9 | 312575728 |
10 | 135331424 |
11 | 6a433558 |
12 | 393a4968 |
13 | 22064387 |
14 | 13d8b064 |
15 | bd332ee |
hex | 810fe60 |
135331424 has 96 divisors (see below), whose sum is σ = 296110080. Its totient is φ = 60622848.
The previous prime is 135331423. The next prime is 135331451. The reversal of 135331424 is 424133531.
It is a junction number, because it is equal to n+sod(n) for n = 135331393 and 135331402.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (135331423) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1713017 + ... + 1713095.
It is an arithmetic number, because the mean of its divisors is an integer number (3084480).
Almost surely, 2135331424 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 135331424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148055040).
135331424 is an abundant number, since it is smaller than the sum of its proper divisors (160778656).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
135331424 is a wasteful number, since it uses less digits than its factorization.
135331424 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 220 (or 212 counting only the distinct ones).
The product of its digits is 4320, while the sum is 26.
The square root of 135331424 is about 11633.2035140799. The cubic root of 135331424 is about 513.4122387655.
Adding to 135331424 its reverse (424133531), we get a palindrome (559464955).
The spelling of 135331424 in words is "one hundred thirty-five million, three hundred thirty-one thousand, four hundred twenty-four".
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