| Base | Representation |
|---|---|
| bin | 111111100101000… |
| … | …010110110010000 |
| 3 | 2202100010201211201 |
| 4 | 333211002312100 |
| 5 | 4141032104400 |
| 6 | 253502320544 |
| 7 | 35301410254 |
| oct | 7745026620 |
| 9 | 2670121751 |
| 10 | 1066675600 |
| 11 | 4a8124191 |
| 12 | 259289154 |
| 13 | 13ccb37c3 |
| 14 | a1946264 |
| 15 | 639a206a |
| hex | 3f942d90 |
1066675600 has 135 divisors (see below), whose sum is σ = 2717216929. Its totient is φ = 402371200.
The previous prime is 1066675549. The next prime is 1066675601. The reversal of 1066675600 is 65766601.
It is a happy number.
The square root of 1066675600 is 32660.
It is a perfect power (a square), and thus also a powerful number.
1066675600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in only one way, i.e., 384003216 + 682672384 = 19596^2 + 26128^2 .
It is a super-2 number, since 2×10666756002 = 2275593671270720000, which contains 22 as substring.
It is a Duffinian number.
It is a self number, because there is not a number n which added to its sum of digits gives 1066675600.
It is not an unprimeable number, because it can be changed into a prime (1066675601) by changing a digit.
It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 15023565 + ... + 15023635.
Almost surely, 21066675600 is an apocalyptic number.
1066675600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
1066675600 is the 32660-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 1066675600
1066675600 is an abundant number, since it is smaller than the sum of its proper divisors (1650541329).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1066675600 is an equidigital number, since it uses as much as digits as its factorization.
1066675600 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 206 (or 101 counting only the distinct ones).
The product of its (nonzero) digits is 45360, while the sum is 37.
The cubic root of 1066675600 is about 1021.7487622241.
The spelling of 1066675600 in words is "one billion, sixty-six million, six hundred seventy-five thousand, six hundred".
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