Base | Representation |
---|---|
bin | 1000101000011… |
… | …0011000100000 |
3 | 2112010020211102 |
4 | 2022012120200 |
5 | 33231431031 |
6 | 3331533532 |
7 | 616466144 |
oct | 212063040 |
9 | 75106742 |
10 | 36202016 |
11 | 19487124 |
12 | 1015a2a8 |
13 | 7666c16 |
14 | 4b45224 |
15 | 32a17cb |
hex | 2286620 |
36202016 has 36 divisors (see below), whose sum is σ = 73162026. Its totient is φ = 17633280.
The previous prime is 36202009. The next prime is 36202031. The reversal of 36202016 is 61020263.
It can be written as a sum of positive squares in 3 ways, for example, as 9120400 + 27081616 = 3020^2 + 5204^2 .
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 53456 + ... + 54128.
Almost surely, 236202016 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 36202016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36581013).
36202016 is an abundant number, since it is smaller than the sum of its proper divisors (36960010).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
36202016 is an equidigital number, since it uses as much as digits as its factorization.
36202016 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 765 (or 716 counting only the distinct ones).
The product of its (nonzero) digits is 432, while the sum is 20.
The square root of 36202016 is about 6016.8111155329. The cubic root of 36202016 is about 330.8092047929.
Adding to 36202016 its reverse (61020263), we get a palindrome (97222279).
The spelling of 36202016 in words is "thirty-six million, two hundred two thousand, sixteen".
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