Base | Representation |
---|---|
bin | 1000101101010… |
… | …0000001000000 |
3 | 2112201102000121 |
4 | 2023110001000 |
5 | 33322120000 |
6 | 3342430024 |
7 | 622262206 |
oct | 213240100 |
9 | 75642017 |
10 | 36520000 |
11 | 19684020 |
12 | 10292314 |
13 | 774888a |
14 | 4bc9076 |
15 | 3315b1a |
hex | 22d4040 |
36520000 has 140 divisors (see below), whose sum is σ = 99980496. Its totient is φ = 13120000.
The previous prime is 36519991. The next prime is 36520007. The reversal of 36520000 is 2563.
It is a Harshad number since it is a multiple of its sum of digits (16).
It is not an unprimeable number, because it can be changed into a prime (36520007) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 439959 + ... + 440041.
Almost surely, 236520000 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 36520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49990248).
36520000 is an abundant number, since it is smaller than the sum of its proper divisors (63460496).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
36520000 is an equidigital number, since it uses as much as digits as its factorization.
36520000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 126 (or 101 counting only the distinct ones).
The product of its (nonzero) digits is 180, while the sum is 16.
The square root of 36520000 is about 6043.1779718953. The cubic root of 36520000 is about 331.7749478805.
Adding to 36520000 its reverse (2563), we get a palindrome (36522563).
The spelling of 36520000 in words is "thirty-six million, five hundred twenty thousand".
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