Base | Representation |
---|---|
bin | 10110100110100… |
… | …10000001100000 |
3 | 111012202212201000 |
4 | 23103102001200 |
5 | 342014311221 |
6 | 30451512000 |
7 | 4461415104 |
oct | 1323220140 |
9 | 435685630 |
10 | 189603936 |
11 | 98032275 |
12 | 535b8600 |
13 | 303873a2 |
14 | 1b277904 |
15 | 119a3e26 |
hex | b4d2060 |
189603936 has 96 divisors (see below), whose sum is σ = 570931200. Its totient is φ = 61153920.
The previous prime is 189603929. The next prime is 189603937. The reversal of 189603936 is 639306981.
189603936 is a `hidden beast` number, since 1 + 8 + 9 + 603 + 9 + 36 = 666.
189603936 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (96).
It is a junction number, because it is equal to n+sod(n) for n = 189603891 and 189603900.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (189603937) 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, 23245 + ... + 30323.
It is an arithmetic number, because the mean of its divisors is an integer number (5947200).
Almost surely, 2189603936 is an apocalyptic number.
189603936 is a gapful number since it is divisible by the number (16) 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 189603936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285465600).
189603936 is an abundant number, since it is smaller than the sum of its proper divisors (381327264).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
189603936 is a wasteful number, since it uses less digits than its factorization.
189603936 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 7129 (or 7115 counting only the distinct ones).
The product of its (nonzero) digits is 209952, while the sum is 45.
The square root of 189603936 is about 13769.6745059569. The cubic root of 189603936 is about 574.4899683978.
The spelling of 189603936 in words is "one hundred eighty-nine million, six hundred three thousand, nine hundred thirty-six".
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