| Base | Representation |
|---|---|
| bin | 1000100111001… |
| … | …1100101001000 |
| 3 | 2111222100011222 |
| 4 | 2021303211020 |
| 5 | 33222000000 |
| 6 | 3330141212 |
| 7 | 616025462 |
| oct | 211634510 |
| 9 | 74870158 |
| 10 | 36125000 |
| 11 | 1943427a |
| 12 | 10121808 |
| 13 | 763ab52 |
| 14 | 4b25132 |
| 15 | 3288a85 |
| hex | 2273948 |
36125000 has 84 divisors (see below), whose sum is σ = 89940255. Its totient is φ = 13600000.
The previous prime is 36124969. The next prime is 36125027. The reversal of 36125000 is 52163.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
It can be written as a sum of positive squares in 11 ways, for example, as 22714756 + 13410244 = 4766^2 + 3662^2 .
It is an ABA number since it can be written as A⋅BA, here for A=2, B=4250.
It is a Harshad number since it is a multiple of its sum of digits (17).
It is a nialpdrome in base 5.
It is a zygodrome in base 5.
It is a self number, because there is not a number n which added to its sum of digits gives 36125000.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 2124992 + ... + 2125008.
Almost surely, 236125000 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 36125000
36125000 is an abundant number, since it is smaller than the sum of its proper divisors (53815255).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
36125000 is an frugal number, since it uses more digits than its factorization.
36125000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 70 (or 24 counting only the distinct ones).
The product of its (nonzero) digits is 180, while the sum is 17.
The square root of 36125000 is about 6010.4076400857. The cubic root of 36125000 is about 330.5744509229.
Multiplying 36125000 by its sum of digits (17), we get a cube (614125000 = 8503).
Adding to 36125000 its reverse (52163), we get a palindrome (36177163).
The spelling of 36125000 in words is "thirty-six million, one hundred twenty-five thousand".
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