Base | Representation |
---|---|
bin | 10111111101100… |
… | …01010110000000 |
3 | 112000020002020000 |
4 | 23332301112000 |
5 | 402424120131 |
6 | 31540120000 |
7 | 4660336464 |
oct | 1376612600 |
9 | 460202200 |
10 | 201004416 |
11 | a3509658 |
12 | 57396000 |
13 | 32849532 |
14 | 1c9a44a4 |
15 | 129a6ce6 |
hex | bfb1580 |
201004416 has 80 divisors (see below), whose sum is σ = 598216740. Its totient is φ = 66998016.
The previous prime is 201004411. The next prime is 201004417. The reversal of 201004416 is 614400102.
201004416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (201004411) by changing a digit.
It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 675 + ... + 20061.
Almost surely, 2201004416 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 201004416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299108370).
201004416 is an abundant number, since it is smaller than the sum of its proper divisors (397212324).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
201004416 is an equidigital number, since it uses as much as digits as its factorization.
201004416 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 19413 (or 19392 counting only the distinct ones).
The product of its (nonzero) digits is 192, while the sum is 18.
The square root of 201004416 is about 14177.6026182144. The cubic root of 201004416 is about 585.7808901001.
Adding to 201004416 its reverse (614400102), we get a palindrome (815404518).
The spelling of 201004416 in words is "two hundred one million, four thousand, four hundred sixteen".
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