Base | Representation |
---|---|
bin | 1000100101010… |
… | …1000100100100 |
3 | 2111201222202200 |
4 | 2021111010210 |
5 | 33204000121 |
6 | 3323334500 |
7 | 614665242 |
oct | 211250444 |
9 | 74658680 |
10 | 36000036 |
11 | 193593a6 |
12 | 10081430 |
13 | 75c5cc7 |
14 | 4ad1792 |
15 | 3261a26 |
hex | 2255124 |
36000036 has 36 divisors (see below), whose sum is σ = 91910364. Its totient is φ = 11880000.
The previous prime is 36000007. The next prime is 36000059. The reversal of 36000036 is 63000063.
It can be written as a sum of positive squares in 2 ways, for example, as 34574400 + 1425636 = 5880^2 + 1194^2 .
It is a tau number, because it is divible by the number of its divisors (36).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 35999982 and 36000018.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1315 + ... + 8586.
Almost surely, 236000036 is an apocalyptic number.
36000036 is a gapful number since it is divisible by the number (36) formed by its first and last digit.
It is an amenable number.
36000036 is an abundant number, since it is smaller than the sum of its proper divisors (55910328).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
36000036 is a wasteful number, since it uses less digits than its factorization.
36000036 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 10012 (or 10007 counting only the distinct ones).
The product of its (nonzero) digits is 324, while the sum is 18.
The square root of 36000036 is about 6000.0029999993. The cubic root of 36000036 is about 330.1928349537.
36000036 divided by its sum of digits (18) gives a palindrome (2000002).
Adding to 36000036 its reverse (63000063), we get a palindrome (99000099).
It can be divided in two parts, 360000 and 36, that multiplied together give a 4-th power (12960000 = 604).
The spelling of 36000036 in words is "thirty-six million, thirty-six", and thus it is an aban number, an eban number, and an uban number.
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