Base | Representation |
---|---|
bin | 1000101101010… |
… | …0000001010000 |
3 | 2112201102001012 |
4 | 2023110001100 |
5 | 33322120031 |
6 | 3342430052 |
7 | 622262231 |
oct | 213240120 |
9 | 75642035 |
10 | 36520016 |
11 | 19684035 |
12 | 10292328 |
13 | 77488a0 |
14 | 4bc9088 |
15 | 3315b2b |
hex | 22d4050 |
36520016 has 40 divisors (see below), whose sum is σ = 76573224. Its totient is φ = 16773120.
The previous prime is 36520013. The next prime is 36520027. The reversal of 36520016 is 61002563.
It can be written as a sum of positive squares in 4 ways, for example, as 38416 + 36481600 = 196^2 + 6040^2 .
It is a junction number, because it is equal to n+sod(n) for n = 36519973 and 36520000.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (36520013) by changing a digit.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 69836 + ... + 70356.
Almost surely, 236520016 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 36520016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38286612).
36520016 is an abundant number, since it is smaller than the sum of its proper divisors (40053208).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
36520016 is a wasteful number, since it uses less digits than its factorization.
36520016 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 879 (or 873 counting only the distinct ones).
The product of its (nonzero) digits is 1080, while the sum is 23.
The square root of 36520016 is about 6043.1792957019. The cubic root of 36520016 is about 331.7749963325.
Adding to 36520016 its reverse (61002563), we get a palindrome (97522579).
The spelling of 36520016 in words is "thirty-six million, five hundred twenty thousand, sixteen".
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