| Base | Representation |
|---|---|
| bin | 10111111101110… |
| … | …01010000000000 |
| 3 | 112000021201122102 |
| 4 | 23332321100000 |
| 5 | 402431134200 |
| 6 | 31540525532 |
| 7 | 4660533056 |
| oct | 1376712000 |
| 9 | 460251572 |
| 10 | 201036800 |
| 11 | a3530a18 |
| 12 | 573b08a8 |
| 13 | 3285b1b3 |
| 14 | 1c9b21d6 |
| 15 | 129b16d5 |
| hex | bfb9400 |
201036800 has 66 divisors (see below), whose sum is σ = 498391278. Its totient is φ = 80404480.
The previous prime is 201036793. The next prime is 201036839. The reversal of 201036800 is 8630102.
201036800 is digitally balanced in base 3, 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 3 ways, for example, as 984064 + 200052736 = 992^2 + 14144^2 .
It is a Harshad number since it is a multiple of its sum of digits (20).
It is a congruent number.
It is an unprimeable number.
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 5 ways as a sum of consecutive naturals, for example, 21674 + ... + 29526.
It is an arithmetic number, because the mean of its divisors is an integer number (7551383).
Almost surely, 2201036800 is an apocalyptic number.
201036800 is a gapful number since it is divisible by the number (20) 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 201036800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249195639).
201036800 is an abundant number, since it is smaller than the sum of its proper divisors (297354478).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
201036800 is an equidigital number, since it uses as much as digits as its factorization.
201036800 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 7883 (or 7860 counting only the distinct ones).
The product of its (nonzero) digits is 288, while the sum is 20.
The square root of 201036800 is about 14178.7446552930. The cubic root of 201036800 is about 585.8123469706.
Adding to 201036800 its reverse (8630102), we get a palindrome (209666902).
The spelling of 201036800 in words is "two hundred one million, thirty-six thousand, eight hundred".
• e-mail: info -at- numbersaplenty.com • Privacy notice • done in 0.069 sec. • engine limits •