Base | Representation |
---|---|
bin | 10001001111110… |
… | …111111110111100 |
3 | 202011111201200202 |
4 | 101033313332330 |
5 | 1043034433030 |
6 | 44414143032 |
7 | 10112432246 |
oct | 2117677674 |
9 | 664451622 |
10 | 289374140 |
11 | 139387090 |
12 | 80ab1a78 |
13 | 47c4a403 |
14 | 2a609096 |
15 | 1a610745 |
hex | 113f7fbc |
289374140 has 48 divisors (see below), whose sum is σ = 667838304. Its totient is φ = 104448000.
The previous prime is 289374131. The next prime is 289374143. The reversal of 289374140 is 41473982.
289374140 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.
It is a junction number, because it is equal to n+sod(n) for n = 289374094 and 289374103.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (289374143) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25340 + ... + 34940.
It is an arithmetic number, because the mean of its divisors is an integer number (13913298).
Almost surely, 2289374140 is an apocalyptic number.
289374140 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 289374140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333919152).
289374140 is an abundant number, since it is smaller than the sum of its proper divisors (378464164).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
289374140 is a wasteful number, since it uses less digits than its factorization.
289374140 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 9758 (or 9756 counting only the distinct ones).
The product of its (nonzero) digits is 48384, while the sum is 38.
The square root of 289374140 is about 17011.0005584622. Note that the first 3 decimals coincide. The cubic root of 289374140 is about 661.4340870610.
The spelling of 289374140 in words is "two hundred eighty-nine million, three hundred seventy-four thousand, one hundred forty".
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