Base | Representation |
---|---|
bin | 1111100111001… |
… | …00111000100000 |
3 | 100010102111121202 |
4 | 13303210320200 |
5 | 232011222203 |
6 | 20554540332 |
7 | 3150102200 |
oct | 763447040 |
9 | 303374552 |
10 | 130960928 |
11 | 67a1897a |
12 | 37a376a8 |
13 | 21193c97 |
14 | 13570400 |
15 | b76d388 |
hex | 7ce4e20 |
130960928 has 90 divisors (see below), whose sum is σ = 318668931. Its totient is φ = 52824576.
The previous prime is 130960927. The next prime is 130960937. The reversal of 130960928 is 829069031.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
It can be written as a sum of positive squares in 3 ways, for example, as 126067984 + 4892944 = 11228^2 + 2212^2 .
It is an ABA number since it can be written as A⋅BA, here for A=2, B=8092.
It is a junction number, because it is equal to n+sod(n) for n = 130960891 and 130960900.
It is not an unprimeable number, because it can be changed into a prime (130960927) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 7703576 + ... + 7703592.
Almost surely, 2130960928 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 130960928
130960928 is an abundant number, since it is smaller than the sum of its proper divisors (187708003).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
130960928 is an frugal number, since it uses more digits than its factorization.
130960928 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 92 (or 26 counting only the distinct ones).
The product of its (nonzero) digits is 23328, while the sum is 38.
The square root of 130960928 is about 11443.8161467231. The cubic root of 130960928 is about 507.8248099069.
Multiplying 130960928 by its product of nonzero digits (23328), we get a square (3055056528384 = 17478722).
The spelling of 130960928 in words is "one hundred thirty million, nine hundred sixty thousand, nine hundred twenty-eight".
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