Base | Representation |
---|---|
bin | 10001001101000… |
… | …10100000001000 |
3 | 101001120020112110 |
4 | 20212202200020 |
5 | 243421224040 |
6 | 22153142320 |
7 | 3401463351 |
oct | 1046424010 |
9 | 331506473 |
10 | 144320520 |
11 | 74513163 |
12 | 403ba9a0 |
13 | 23b90a76 |
14 | 1524ad28 |
15 | ca0b980 |
hex | 89a2808 |
144320520 has 64 divisors (see below), whose sum is σ = 434315520. Its totient is φ = 38365184.
The previous prime is 144320459. The next prime is 144320521. The reversal of 144320520 is 25023441.
It is not an unprimeable number, because it can be changed into a prime (144320521) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40657 + ... + 44063.
It is an arithmetic number, because the mean of its divisors is an integer number (6786180).
Almost surely, 2144320520 is an apocalyptic number.
144320520 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 144320520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217157760).
144320520 is an abundant number, since it is smaller than the sum of its proper divisors (289995000).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
144320520 is a wasteful number, since it uses less digits than its factorization.
144320520 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3774 (or 3770 counting only the distinct ones).
The product of its (nonzero) digits is 960, while the sum is 21.
The square root of 144320520 is about 12013.3475767581. The cubic root of 144320520 is about 524.5368795676.
Adding to 144320520 its reverse (25023441), we get a palindrome (169343961).
It can be divided in two parts, 1443 and 20520, that multiplied together give a triangular number (29610360 = T7695).
The spelling of 144320520 in words is "one hundred forty-four million, three hundred twenty thousand, five hundred twenty".
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