Base | Representation |
---|---|
bin | 111100010011010… |
… | …1111000111110000 |
3 | 12020000102101222022 |
4 | 1320212233013300 |
5 | 13120443423100 |
6 | 532440531012 |
7 | 101066534561 |
oct | 17046570760 |
9 | 5200371868 |
10 | 2023420400 |
11 | 949193771 |
12 | 485780a68 |
13 | 2632875a1 |
14 | 152a34168 |
15 | bc98be85 |
hex | 789af1f0 |
2023420400 has 60 divisors (see below), whose sum is σ = 5072650032. Its totient is φ = 774174720.
The previous prime is 2023420391. The next prime is 2023420417. The reversal of 2023420400 is 40243202.
2023420400 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 100769 + ... + 119168.
Almost surely, 22023420400 is an apocalyptic number.
2023420400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
It is an amenable number.
2023420400 is an abundant number, since it is smaller than the sum of its proper divisors (3049229632).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2023420400 is a wasteful number, since it uses less digits than its factorization.
2023420400 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 219978 (or 219967 counting only the distinct ones).
The product of its (nonzero) digits is 384, while the sum is 17.
The square root of 2023420400 is about 44982.4454648700. The cubic root of 2023420400 is about 1264.8199528157.
Adding to 2023420400 its reverse (40243202), we get a palindrome (2063663602).
The spelling of 2023420400 in words is "two billion, twenty-three million, four hundred twenty thousand, four hundred".
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