Base | Representation |
---|---|
bin | 1000101010100… |
… | …0010110010000 |
3 | 2112101022200000 |
4 | 2022220112100 |
5 | 33300404021 |
6 | 3334530000 |
7 | 620615556 |
oct | 212502620 |
9 | 75338600 |
10 | 36341136 |
11 | 195716a7 |
12 | 10206900 |
13 | 76b5340 |
14 | 4b7dbd6 |
15 | 32ccb26 |
hex | 22a8590 |
36341136 has 120 divisors (see below), whose sum is σ = 113742720. Its totient is φ = 11166336.
The previous prime is 36341131. The next prime is 36341143. The reversal of 36341136 is 63114363.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.
It is not an unprimeable number, because it can be changed into a prime (36341131) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50185 + ... + 50903.
It is an arithmetic number, because the mean of its divisors is an integer number (947856).
Almost surely, 236341136 is an apocalyptic number.
36341136 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 36341136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56871360).
36341136 is an abundant number, since it is smaller than the sum of its proper divisors (77401584).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
36341136 is a wasteful number, since it uses less digits than its factorization.
36341136 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 755 (or 737 counting only the distinct ones).
The product of its digits is 3888, while the sum is 27.
The square root of 36341136 is about 6028.3609712757. The cubic root of 36341136 is about 331.2324164868.
Adding to 36341136 its reverse (63114363), we get a palindrome (99455499).
The spelling of 36341136 in words is "thirty-six million, three hundred forty-one thousand, one hundred thirty-six".
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