| Base | Representation |
|---|---|
| bin | 1111010001000… |
| … | …1111111000000 |
| 3 | 11110111101222100 |
| 4 | 3310101333000 |
| 5 | 112343134200 |
| 6 | 10204310400 |
| 7 | 1405206132 |
| oct | 364217700 |
| 9 | 143441870 |
| 10 | 64036800 |
| 11 | 33168883 |
| 12 | 19542400 |
| 13 | 103614c9 |
| 14 | 870d052 |
| 15 | 594dd00 |
| hex | 3d11fc0 |
64036800 has 126 divisors (see below), whose sum is σ = 227653088. Its totient is φ = 17072640.
The previous prime is 64036799. The next prime is 64036801. The reversal of 64036800 is 863046.
64036800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (64036799) and next prime (64036801).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (64036801) 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 17 ways as a sum of consecutive naturals, for example, 12177 + ... + 16623.
Almost surely, 264036800 is an apocalyptic number.
64036800 is a gapful number since it is divisible by the number (60) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 64036800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113826544).
64036800 is an abundant number, since it is smaller than the sum of its proper divisors (163616288).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
64036800 is a wasteful number, since it uses less digits than its factorization.
64036800 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4475 (or 4457 counting only the distinct ones).
The product of its (nonzero) digits is 3456, while the sum is 27.
The square root of 64036800 is about 8002.2996694700. The cubic root of 64036800 is about 400.0766519769.
Adding to 64036800 its reverse (863046), we get a palindrome (64899846).
It can be divided in two parts, 6403 and 6800, that added together give a triangular number (13203 = T162).
The spelling of 64036800 in words is "sixty-four million, thirty-six thousand, eight hundred".
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