| Base | Representation |
|---|---|
| bin | 11000100111010… |
| … | …11100110100000 |
| 3 | 112101112120102200 |
| 4 | 30103223212200 |
| 5 | 410330022140 |
| 6 | 32253413200 |
| 7 | 5055046524 |
| oct | 1423534640 |
| 9 | 471476380 |
| 10 | 206485920 |
| 11 | a6612a23 |
| 12 | 5919a200 |
| 13 | 33a18524 |
| 14 | 1d5cdd84 |
| 15 | 131db030 |
| hex | c4eb9a0 |
206485920 has 144 divisors (see below), whose sum is σ = 741817440. Its totient is φ = 52157952.
The previous prime is 206485919. The next prime is 206485921. The reversal of 206485920 is 29584602.
It is a happy number.
206485920 is a `hidden beast` number, since 2 + 0 + 64 + 8 + 592 + 0 = 666.
It is an interprime number because it is at equal distance from previous prime (206485919) and next prime (206485921).
It is a tau number, because it is divible by the number of its divisors (144).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is not an unprimeable number, because it can be changed into a prime (206485921) 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 23 ways as a sum of consecutive naturals, for example, 23587 + ... + 31133.
It is an arithmetic number, because the mean of its divisors is an integer number (5151510).
Almost surely, 2206485920 is an apocalyptic number.
206485920 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 206485920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370908720).
206485920 is an abundant number, since it is smaller than the sum of its proper divisors (535331520).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
206485920 is a wasteful number, since it uses less digits than its factorization.
206485920 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 7587 (or 7576 counting only the distinct ones).
The product of its (nonzero) digits is 34560, while the sum is 36.
The square root of 206485920 is about 14369.6179489922. The cubic root of 206485920 is about 591.0580650174.
The spelling of 206485920 in words is "two hundred six million, four hundred eighty-five thousand, nine hundred twenty".
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