| Base | Representation |
|---|---|
| bin | 11000100100100… |
| … | …01010010100000 |
| 3 | 112100211202222221 |
| 4 | 30102101102200 |
| 5 | 410231203000 |
| 6 | 32241440424 |
| 7 | 5051646166 |
| oct | 1422212240 |
| 9 | 470752887 |
| 10 | 206116000 |
| 11 | a6390002 |
| 12 | 59040114 |
| 13 | 3391903c |
| 14 | 1d535236 |
| 15 | 1316661a |
| hex | c4914a0 |
206116000 has 72 divisors (see below), whose sum is σ = 508667796. Its totient is φ = 82083200.
The previous prime is 206115997. The next prime is 206116003. The reversal of 206116000 is 611602.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
It is an interprime number because it is at equal distance from previous prime (206115997) and next prime (206116003).
It can be written as a sum of positive squares in 2 ways, for example, as 139334416 + 66781584 = 11804^2 + 8172^2 .
It is a Harshad number since it is a multiple of its sum of digits (16).
It is not an unprimeable number, because it can be changed into a prime (206116003) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 907887 + ... + 908113.
Almost surely, 2206116000 is an apocalyptic number.
206116000 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 206116000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254333898).
206116000 is an abundant number, since it is smaller than the sum of its proper divisors (302551796).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
206116000 is an frugal number, since it uses more digits than its factorization.
206116000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 479 (or 234 counting only the distinct ones).
The product of its (nonzero) digits is 72, while the sum is 16.
The square root of 206116000 is about 14356.7405771644. The cubic root of 206116000 is about 590.7048934037.
Adding to 206116000 its reverse (611602), we get a palindrome (206727602).
The spelling of 206116000 in words is "two hundred six million, one hundred sixteen thousand".
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