Base | Representation |
---|---|
bin | 1000100110010… |
… | …0111111100010 |
3 | 2111212022020000 |
4 | 2021210333202 |
5 | 33213042000 |
6 | 3325000430 |
7 | 615356334 |
oct | 211447742 |
9 | 74768200 |
10 | 36065250 |
11 | 193a33a1 |
12 | 100b3116 |
13 | 76198b0 |
14 | 4b0b454 |
15 | 3276000 |
hex | 2264fe2 |
36065250 has 160 divisors (see below), whose sum is σ = 109405296. Its totient is φ = 8812800.
The previous prime is 36065221. The next prime is 36065251. The reversal of 36065250 is 5256063.
36065250 is a `hidden beast` number, since 3 + 6 + 0 + 652 + 5 + 0 = 666.
36065250 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 8 ways, for example, as 29241 + 36036009 = 171^2 + 6003^2 .
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (36065251) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 263182 + ... + 263318.
Almost surely, 236065250 is an apocalyptic number.
36065250 is a gapful number since it is divisible by the number (30) formed by its first and last digit.
It is a practical number, because each smaller number is the sum of distinct divisors of 36065250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54702648).
36065250 is an abundant number, since it is smaller than the sum of its proper divisors (73340046).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
36065250 is a wasteful number, since it uses less digits than its factorization.
36065250 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 179 (or 160 counting only the distinct ones).
The product of its (nonzero) digits is 5400, while the sum is 27.
The square root of 36065250 is about 6005.4350383632. The cubic root of 36065250 is about 330.3920959226.
It can be divided in two parts, 36065 and 250, that added together give a triangular number (36315 = T269).
The spelling of 36065250 in words is "thirty-six million, sixty-five thousand, two hundred fifty".
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