Base | Representation |
---|---|
bin | 1000100111000… |
… | …1100100000000 |
3 | 2111221220211220 |
4 | 2021301210000 |
5 | 33221213421 |
6 | 3330035040 |
7 | 615662415 |
oct | 211614400 |
9 | 74856756 |
10 | 36116736 |
11 | 19429047 |
12 | 10118a80 |
13 | 7637166 |
14 | 4b2210c |
15 | 32863c6 |
hex | 2271900 |
36116736 has 144 divisors (see below), whose sum is σ = 104391168. Its totient is φ = 11059200.
The previous prime is 36116723. The next prime is 36116737. The reversal of 36116736 is 63761163.
It is a junction number, because it is equal to n+sod(n) for n = 36116697 and 36116706.
It is not an unprimeable number, because it can be changed into a prime (36116737) 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, 880876 + ... + 880916.
Almost surely, 236116736 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 36116736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52195584).
36116736 is an abundant number, since it is smaller than the sum of its proper divisors (68274432).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
36116736 is a wasteful number, since it uses less digits than its factorization.
36116736 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 128 (or 114 counting only the distinct ones).
The product of its digits is 13608, while the sum is 33.
The square root of 36116736 is about 6009.7201265949. The cubic root of 36116736 is about 330.5492414594.
Adding to 36116736 its reverse (63761163), we get a palindrome (99877899).
The spelling of 36116736 in words is "thirty-six million, one hundred sixteen thousand, seven hundred thirty-six".
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