Base | Representation |
---|---|
bin | 10000001001000… |
… | …11111000110100 |
3 | 100102210201010102 |
4 | 20010203320310 |
5 | 234131211200 |
6 | 21234213232 |
7 | 3232664651 |
oct | 1004437064 |
9 | 312721112 |
10 | 135413300 |
11 | 6a48a020 |
12 | 39424218 |
13 | 22092719 |
14 | 13dacc28 |
15 | bd4c6d5 |
hex | 8123e34 |
135413300 has 72 divisors (see below), whose sum is σ = 322479360. Its totient is φ = 48947200.
The previous prime is 135413293. The next prime is 135413339. The reversal of 135413300 is 3314531.
It is a happy number.
It is a Harshad number since it is a multiple of its sum of digits (20).
It is a congruent number.
It is an unprimeable number.
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 23 ways as a sum of consecutive naturals, for example, 282461 + ... + 282939.
It is an arithmetic number, because the mean of its divisors is an integer number (4478880).
Almost surely, 2135413300 is an apocalyptic number.
135413300 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 135413300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161239680).
135413300 is an abundant number, since it is smaller than the sum of its proper divisors (187066060).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
135413300 is a wasteful number, since it uses less digits than its factorization.
135413300 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 761 (or 754 counting only the distinct ones).
The product of its (nonzero) digits is 540, while the sum is 20.
The square root of 135413300 is about 11636.7220470371. The cubic root of 135413300 is about 513.5157566446.
Adding to 135413300 its reverse (3314531), we get a palindrome (138727831).
The spelling of 135413300 in words is "one hundred thirty-five million, four hundred thirteen thousand, three hundred".
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