Base | Representation |
---|---|
bin | 1111101001111… |
… | …01101000011000 |
3 | 100011002222021011 |
4 | 13310331220120 |
5 | 232104340230 |
6 | 21010423304 |
7 | 3153145042 |
oct | 764755030 |
9 | 304088234 |
10 | 131324440 |
11 | 68146aa5 |
12 | 37b91b34 |
13 | 21290590 |
14 | 13626a92 |
15 | b7e0e2a |
hex | 7d3da18 |
131324440 has 64 divisors (see below), whose sum is σ = 322781760. Its totient is φ = 47792640.
The previous prime is 131324429. The next prime is 131324443. The reversal of 131324440 is 44423131.
It is a super-2 number, since 2×1313244402 = 34492217082627200, which contains 22 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (131324443) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35142 + ... + 38698.
It is an arithmetic number, because the mean of its divisors is an integer number (5043465).
Almost surely, 2131324440 is an apocalyptic number.
131324440 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 131324440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161390880).
131324440 is an abundant number, since it is smaller than the sum of its proper divisors (191457320).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
131324440 is a wasteful number, since it uses less digits than its factorization.
131324440 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3652 (or 3648 counting only the distinct ones).
The product of its (nonzero) digits is 1152, while the sum is 22.
The square root of 131324440 is about 11459.6876048172. The cubic root of 131324440 is about 508.2942371317.
Adding to 131324440 its reverse (44423131), we get a palindrome (175747571).
The spelling of 131324440 in words is "one hundred thirty-one million, three hundred twenty-four thousand, four hundred forty".
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