| Base | Representation |
|---|---|
| bin | 10111111101110… |
| … | …10000010000000 |
| 3 | 112000021220000221 |
| 4 | 23332322002000 |
| 5 | 402431240000 |
| 6 | 31540552424 |
| 7 | 4660545310 |
| oct | 1376720200 |
| 9 | 460256027 |
| 10 | 201040000 |
| 11 | a3533367 |
| 12 | 573b2714 |
| 13 | 3285c7a5 |
| 14 | 1c9b3440 |
| 15 | 129b261a |
| hex | bfba080 |
201040000 has 160 divisors (see below), whose sum is σ = 573566400. Its totient is φ = 68736000.
The previous prime is 201039997. The next prime is 201040003. The reversal of 201040000 is 40102.
It is an interprime number because it is at equal distance from previous prime (201039997) and next prime (201040003).
It is a tau number, because it is divible by the number of its divisors (160).
It is a Harshad number since it is a multiple of its sum of digits (7).
It is not an unprimeable number, because it can be changed into a prime (201040003) 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 19 ways as a sum of consecutive naturals, for example, 559821 + ... + 560179.
It is an arithmetic number, because the mean of its divisors is an integer number (3584790).
Almost surely, 2201040000 is an apocalyptic number.
201040000 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 201040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286783200).
201040000 is an abundant number, since it is smaller than the sum of its proper divisors (372526400).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
201040000 is an frugal number, since it uses more digits than its factorization.
201040000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 400 (or 373 counting only the distinct ones).
The product of its (nonzero) digits is 8, while the sum is 7.
The square root of 201040000 is about 14178.8574998129. The cubic root of 201040000 is about 585.8154551737.
Adding to 201040000 its reverse (40102), we get a palindrome (201080102).
The spelling of 201040000 in words is "two hundred one million, forty thousand".
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