Base | Representation |
---|---|
bin | 111101110000111… |
… | …100010010100000 |
3 | 2200012212110002110 |
4 | 331300330102200 |
5 | 4110234140112 |
6 | 250454115320 |
7 | 34451615652 |
oct | 7560742240 |
9 | 2605773073 |
10 | 1036240032 |
11 | 491a26523 |
12 | 24b04bb40 |
13 | 1368b84a9 |
14 | 9b8a26d2 |
15 | 60e8e13c |
hex | 3dc3c4a0 |
1036240032 has 96 divisors (see below), whose sum is σ = 2890665792. Its totient is φ = 323907584.
The previous prime is 1036240013. The next prime is 1036240033. The reversal of 1036240032 is 2300426301.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (96).
It is a super-3 number, since 3×10362400323 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a junction number, because it is equal to n+sod(n) for n = 1036239990 and 1036240008.
It is not an unprimeable number, because it can be changed into a prime (1036240033) 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, 516343 + ... + 518345.
It is an arithmetic number, because the mean of its divisors is an integer number (30111102).
Almost surely, 21036240032 is an apocalyptic number.
1036240032 is a gapful number since it is divisible by the number (12) 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 1036240032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1445332896).
1036240032 is an abundant number, since it is smaller than the sum of its proper divisors (1854425760).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1036240032 is a wasteful number, since it uses less digits than its factorization.
1036240032 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2350 (or 2342 counting only the distinct ones).
The product of its (nonzero) digits is 864, while the sum is 21.
The square root of 1036240032 is about 32190.6823786014. The cubic root of 1036240032 is about 1011.9369528544.
Adding to 1036240032 its reverse (2300426301), we get a palindrome (3336666333).
The spelling of 1036240032 in words is "one billion, thirty-six million, two hundred forty thousand, thirty-two".
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