Base | Representation |
---|---|
bin | 1000100101010… |
… | …1010010101000 |
3 | 2111202001000000 |
4 | 2021111102220 |
5 | 33204012221 |
6 | 3323343000 |
7 | 615000666 |
oct | 211252250 |
9 | 74661000 |
10 | 36000936 |
11 | 1935a044 |
12 | 10081a60 |
13 | 75c653a |
14 | 4ad1c36 |
15 | 3261e26 |
hex | 22554a8 |
36000936 has 56 divisors (see below), whose sum is σ = 101222730. Its totient is φ = 11998368.
The previous prime is 36000857. The next prime is 36000941. The reversal of 36000936 is 63900063.
It can be written as a sum of positive squares in only one way, i.e., 35928036 + 72900 = 5994^2 + 270^2 .
It is a Harshad number since it is a multiple of its sum of digits (27).
It is an unprimeable number.
It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 2746 + ... + 8918.
Almost surely, 236000936 is an apocalyptic number.
36000936 is a gapful number since it is divisible by the number (36) 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 36000936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50611365).
36000936 is an abundant number, since it is smaller than the sum of its proper divisors (65221794).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
36000936 is an equidigital number, since it uses as much as digits as its factorization.
36000936 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 6197 (or 6178 counting only the distinct ones).
The product of its (nonzero) digits is 2916, while the sum is 27.
The square root of 36000936 is about 6000.0779994930. The cubic root of 36000936 is about 330.1955865349.
Adding to 36000936 its reverse (63900063), we get a palindrome (99900999).
The spelling of 36000936 in words is "thirty-six million, nine hundred thirty-six", and thus it is an aban number.
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