Base | Representation |
---|---|
bin | 10001100010010… |
… | …10000110000000 |
3 | 101020210122221001 |
4 | 20301022012000 |
5 | 300124313003 |
6 | 22332541344 |
7 | 3434236003 |
oct | 1061120600 |
9 | 336718831 |
10 | 147104128 |
11 | 76044566 |
12 | 41321854 |
13 | 24626a82 |
14 | 1577353a |
15 | cdab61d |
hex | 8c4a180 |
147104128 has 64 divisors (see below), whose sum is σ = 315241200. Its totient is φ = 68124672.
The previous prime is 147104101. The next prime is 147104131. The reversal of 147104128 is 821401741.
147104128 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
147104128 is a nontrivial binomial coefficient, being equal to C(17153, 2).
It is a tau number, because it is divible by the number of its divisors (64).
It is a junction number, because it is equal to n+sod(n) for n = 147104096 and 147104105.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 145288 + ... + 146296.
Almost surely, 2147104128 is an apocalyptic number.
147104128 is the 17152-nd triangular number.
147104128 is the 5718-th centered nonagonal number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 147104128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157620600).
147104128 is an abundant number, since it is smaller than the sum of its proper divisors (168137072).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
147104128 is a wasteful number, since it uses less digits than its factorization.
147104128 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1107 (or 1095 counting only the distinct ones).
The product of its (nonzero) digits is 1792, while the sum is 28.
The square root of 147104128 is about 12128.6490591492. The cubic root of 147104128 is about 527.8877937262.
Adding to 147104128 its reverse (821401741), we get a palindrome (968505869).
The spelling of 147104128 in words is "one hundred forty-seven million, one hundred four thousand, one hundred twenty-eight".
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