Base | Representation |
---|---|
bin | 111100010010101… |
… | …0100110000000000 |
3 | 12012222201121012200 |
4 | 1320211110300000 |
5 | 13120400101430 |
6 | 532424553200 |
7 | 101063433441 |
oct | 17045246000 |
9 | 5188647180 |
10 | 2023050240 |
11 | 948a60652 |
12 | 485622800 |
13 | 263187c63 |
14 | 1529792c8 |
15 | bc917460 |
hex | 78954c00 |
2023050240 has 264 divisors, whose sum is σ = 7179860688. Its totient is φ = 526417920.
The previous prime is 2023050229. The next prime is 2023050247. The reversal of 2023050240 is 420503202.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is not an unprimeable number, because it can be changed into a prime (2023050247) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1980930 + ... + 1981950.
It is an arithmetic number, because the mean of its divisors is an integer number (27196442).
Almost surely, 22023050240 is an apocalyptic number.
2023050240 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 2023050240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3589930344).
2023050240 is an abundant number, since it is smaller than the sum of its proper divisors (5156810448).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2023050240 is a wasteful number, since it uses less digits than its factorization.
2023050240 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1095 (or 1074 counting only the distinct ones).
The product of its (nonzero) digits is 480, while the sum is 18.
The square root of 2023050240 is about 44978.3307827225. The cubic root of 2023050240 is about 1264.7428203347.
Adding to 2023050240 its reverse (420503202), we get a palindrome (2443553442).
The spelling of 2023050240 in words is "two billion, twenty-three million, fifty thousand, two hundred forty".
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