Base | Representation |
---|---|
bin | 1111100101110… |
… | …01011110000000 |
3 | 100010002110200200 |
4 | 13302321132000 |
5 | 231440024404 |
6 | 20551045200 |
7 | 3145431564 |
oct | 762713600 |
9 | 303073620 |
10 | 130783104 |
11 | 67907311 |
12 | 37970800 |
13 | 2113106a |
14 | 135256a4 |
15 | b735839 |
hex | 7cb9780 |
130783104 has 96 divisors (see below), whose sum is σ = 380217240. Its totient is φ = 43146240.
The previous prime is 130783087. The next prime is 130783109. The reversal of 130783104 is 401387031.
It is a tau number, because it is divible by the number of its divisors (96).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (130783109) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 122734 + ... + 123794.
Almost surely, 2130783104 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 130783104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190108620).
130783104 is an abundant number, since it is smaller than the sum of its proper divisors (249434136).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
130783104 is a wasteful number, since it uses less digits than its factorization.
With its successor (130783105) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (1188).
130783104 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1188 (or 1173 counting only the distinct ones).
The product of its (nonzero) digits is 2016, while the sum is 27.
The square root of 130783104 is about 11436.0440712687. The cubic root of 130783104 is about 507.5948574985.
The spelling of 130783104 in words is "one hundred thirty million, seven hundred eighty-three thousand, one hundred four".
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