| Base | Representation |
|---|---|
| bin | 11000000001011… |
| … | …11111101100000 |
| 3 | 112001012102122022 |
| 4 | 30000233331200 |
| 5 | 403042214130 |
| 6 | 31555201012 |
| 7 | 4664626505 |
| oct | 1400577540 |
| 9 | 461172568 |
| 10 | 201523040 |
| 11 | a3833274 |
| 12 | 575a6168 |
| 13 | 3299b604 |
| 14 | 1ca9b4ac |
| 15 | 12a5a7e5 |
| hex | c02ff60 |
201523040 has 48 divisors (see below), whose sum is σ = 477922032. Its totient is φ = 80300544.
The previous prime is 201523037. The next prime is 201523043. The reversal of 201523040 is 40325102.
It is an interprime number because it is at equal distance from previous prime (201523037) and next prime (201523043).
It is a super-3 number, since 3×2015230403 (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (201523043) 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 7 ways as a sum of consecutive naturals, for example, 42047 + ... + 46593.
It is an arithmetic number, because the mean of its divisors is an integer number (9956709).
Almost surely, 2201523040 is an apocalyptic number.
201523040 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 201523040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238961016).
201523040 is an abundant number, since it is smaller than the sum of its proper divisors (276398992).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
201523040 is a wasteful number, since it uses less digits than its factorization.
201523040 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4839 (or 4831 counting only the distinct ones).
The product of its (nonzero) digits is 240, while the sum is 17.
The square root of 201523040 is about 14195.8810927677. The cubic root of 201523040 is about 586.2842606625.
Adding to 201523040 its reverse (40325102), we get a palindrome (241848142).
The spelling of 201523040 in words is "two hundred one million, five hundred twenty-three thousand, forty".
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