Base | Representation |
---|---|
bin | 10001010001000… |
… | …00011001000000 |
3 | 101002112102212020 |
4 | 20220200121000 |
5 | 244034224120 |
6 | 22212201440 |
7 | 3406041600 |
oct | 1050403100 |
9 | 332472766 |
10 | 144836160 |
11 | 74835607 |
12 | 40609280 |
13 | 24011691 |
14 | 15342c00 |
15 | caae640 |
hex | 8a20640 |
144836160 has 168 divisors, whose sum is σ = 535106880. Its totient is φ = 33094656.
The previous prime is 144836137. The next prime is 144836213. The reversal of 144836160 is 61638441.
144836160 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (168).
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45501 + ... + 48579.
It is an arithmetic number, because the mean of its divisors is an integer number (3185160).
Almost surely, 2144836160 is an apocalyptic number.
144836160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 144836160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267553440).
144836160 is an abundant number, since it is smaller than the sum of its proper divisors (390270720).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
144836160 is a wasteful number, since it uses less digits than its factorization.
144836160 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3113 (or 3096 counting only the distinct ones).
The product of its (nonzero) digits is 13824, while the sum is 33.
The square root of 144836160 is about 12034.7895702418. The cubic root of 144836160 is about 525.1608396088.
The spelling of 144836160 in words is "one hundred forty-four million, eight hundred thirty-six thousand, one hundred sixty".
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