Base | Representation |
---|---|
bin | 1111100010010… |
… | …00011100010000 |
3 | 100002012221122000 |
4 | 13301020130100 |
5 | 231330221034 |
6 | 20533114000 |
7 | 3141463053 |
oct | 761103420 |
9 | 302187560 |
10 | 130320144 |
11 | 676204a9 |
12 | 37788900 |
13 | 20ccb416 |
14 | 13444a9a |
15 | b693599 |
hex | 7c48710 |
130320144 has 80 divisors (see below), whose sum is σ = 380481600. Its totient is φ = 42695424.
The previous prime is 130320137. The next prime is 130320167. The reversal of 130320144 is 441023031.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is an unprimeable number.
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 15 ways as a sum of consecutive naturals, for example, 22932 + ... + 28044.
It is an arithmetic number, because the mean of its divisors is an integer number (4756020).
Almost surely, 2130320144 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 130320144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190240800).
130320144 is an abundant number, since it is smaller than the sum of its proper divisors (250161456).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
130320144 is a wasteful number, since it uses less digits than its factorization.
130320144 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 5189 (or 5177 counting only the distinct ones).
The product of its (nonzero) digits is 288, while the sum is 18.
The square root of 130320144 is about 11415.7848613225. The cubic root of 130320144 is about 506.9952032038.
Adding to 130320144 its reverse (441023031), we get a palindrome (571343175).
The spelling of 130320144 in words is "one hundred thirty million, three hundred twenty thousand, one hundred forty-four".
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