| Base | Representation |
|---|---|
| bin | 11000100110111… |
| … | …00011111000000 |
| 3 | 112101102102111100 |
| 4 | 30103130133000 |
| 5 | 410321032000 |
| 6 | 32252214400 |
| 7 | 5054401146 |
| oct | 1423343700 |
| 9 | 471372440 |
| 10 | 206424000 |
| 11 | a6580452 |
| 12 | 5916a400 |
| 13 | 339c62a3 |
| 14 | 1d5b5596 |
| 15 | 131c7a00 |
| hex | c4dc7c0 |
206424000 has 336 divisors, whose sum is σ = 766486656. Its totient is φ = 52992000.
The previous prime is 206423989. The next prime is 206424007. The reversal of 206424000 is 424602.
206424000 is a `hidden beast` number, since 20 + 642 + 4 + 0 + 0 + 0 = 666.
It is a super-2 number, since 2×2064240002 = 85221735552000000, which contains 22 as substring.
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 (206424007) 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 47 ways as a sum of consecutive naturals, for example, 3383970 + ... + 3384030.
Almost surely, 2206424000 is an apocalyptic number.
206424000 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 206424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383243328).
206424000 is an abundant number, since it is smaller than the sum of its proper divisors (560062656).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
206424000 is a wasteful number, since it uses less digits than its factorization.
206424000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 141 (or 118 counting only the distinct ones).
The product of its (nonzero) digits is 384, while the sum is 18.
The square root of 206424000 is about 14367.4632416443. The cubic root of 206424000 is about 590.9989778985.
Adding to 206424000 its reverse (424602), we get a palindrome (206848602).
It can be divided in two parts, 20642 and 4000, that added together give a palindrome (24642).
The spelling of 206424000 in words is "two hundred six million, four hundred twenty-four thousand".
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