Base | Representation |
---|---|
bin | 10101100000100… |
… | …00110101001000 |
3 | 110120111111012200 |
4 | 22300100311020 |
5 | 332142032013 |
6 | 25523040200 |
7 | 4320402342 |
oct | 1260206510 |
9 | 416444180 |
10 | 180424008 |
11 | 92932256 |
12 | 50510060 |
13 | 2b4c1b8b |
14 | 19d68292 |
15 | 10c8de73 |
hex | ac10d48 |
180424008 has 36 divisors (see below), whose sum is σ = 488957235. Its totient is φ = 60103344.
The previous prime is 180424007. The next prime is 180424021. The reversal of 180424008 is 800424081.
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 only one way, i.e., 90212004 + 90212004 = 9498^2 + 9498^2 .
It is a tau number, because it is divible by the number of its divisors (36).
It is an ABA number since it can be written as A⋅BA, here for A=2, B=9498.
It is not an unprimeable number, because it can be changed into a prime (180424003) by changing a digit.
It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 113185 + ... + 114767.
Almost surely, 2180424008 is an apocalyptic number.
180424008 is a gapful number since it is divisible by the number (18) formed by its first and last digit.
It is an amenable number.
180424008 is an abundant number, since it is smaller than the sum of its proper divisors (308533227).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
180424008 is an equidigital number, since it uses as much as digits as its factorization.
180424008 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3178 (or 1588 counting only the distinct ones).
The product of its (nonzero) digits is 2048, while the sum is 27.
The square root of 180424008 is about 13432.2004154197. The cubic root of 180424008 is about 565.0646105661.
Multiplying 180424008 by its product of nonzero digits (2048), we get a square (369508368384 = 6078722).
Adding to 180424008 its reverse (800424081), we get a palindrome (980848089).
The spelling of 180424008 in words is "one hundred eighty million, four hundred twenty-four thousand, eight".
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