| Base | Representation |
|---|---|
| bin | 10110100011000… |
| … | …10011100000000 |
| 3 | 111011220122202000 |
| 4 | 23101202130000 |
| 5 | 341410200010 |
| 6 | 30434024000 |
| 7 | 4454502426 |
| oct | 1321423400 |
| 9 | 434818660 |
| 10 | 189146880 |
| 11 | 9784a93a |
| 12 | 53418000 |
| 13 | 30257340 |
| 14 | 1b199116 |
| 15 | 119137c0 |
| hex | b462700 |
189146880 has 288 divisors, whose sum is σ = 724557120. Its totient is φ = 46448640.
The previous prime is 189146873. The next prime is 189146887. The reversal of 189146880 is 88641981.
189146880 is a `hidden beast` number, since 189 + 1 + 468 + 8 + 0 = 666.
189146880 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (189146873) and next prime (189146887).
It is a tau number, because it is divible by the number of its divisors (288).
It is a Harshad number since it is a multiple of its sum of digits (45).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (189146887) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 449070 + ... + 449490.
Almost surely, 2189146880 is an apocalyptic number.
189146880 is a gapful number since it is divisible by the number (10) 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 189146880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362278560).
189146880 is an abundant number, since it is smaller than the sum of its proper divisors (535410240).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
189146880 is a wasteful number, since it uses less digits than its factorization.
189146880 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 464 (or 444 counting only the distinct ones).
The product of its (nonzero) digits is 110592, while the sum is 45.
The square root of 189146880 is about 13753.0680213544. The cubic root of 189146880 is about 574.0279784183.
The spelling of 189146880 in words is "one hundred eighty-nine million, one hundred forty-six thousand, eight hundred eighty".
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