Base | Representation |
---|---|
bin | 1111100001111… |
… | …00001010000000 |
3 | 100002010101121022 |
4 | 13300330022000 |
5 | 231322113244 |
6 | 20532045012 |
7 | 3141163256 |
oct | 760741200 |
9 | 302111538 |
10 | 130269824 |
11 | 67596713 |
12 | 37763768 |
13 | 20cb1549 |
14 | 134305d6 |
15 | b6836ee |
hex | 7c3c280 |
130269824 has 32 divisors (see below), whose sum is σ = 261930900. Its totient is φ = 64530432.
The previous prime is 130269823. The next prime is 130269829. The reversal of 130269824 is 428962031.
It can be written as a sum of positive squares in 2 ways, for example, as 112360000 + 17909824 = 10600^2 + 4232^2 .
It is a tau number, because it is divible by the number of its divisors (32).
It is not an unprimeable number, because it can be changed into a prime (130269823) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9284 + ... + 18620.
Almost surely, 2130269824 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 130269824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130965450).
130269824 is an abundant number, since it is smaller than the sum of its proper divisors (131661076).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
130269824 is an equidigital number, since it uses as much as digits as its factorization.
130269824 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 9460 (or 9448 counting only the distinct ones).
The product of its (nonzero) digits is 20736, while the sum is 35.
The square root of 130269824 is about 11413.5806826780. The cubic root of 130269824 is about 506.9299401213.
The spelling of 130269824 in words is "one hundred thirty million, two hundred sixty-nine thousand, eight hundred twenty-four".
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