Base | Representation |
---|---|
bin | 111001011101… |
… | …0010000010000 |
3 | 2002200102000120 |
4 | 1302322100100 |
5 | 30202414044 |
6 | 2553350240 |
7 | 514020141 |
oct | 162722020 |
9 | 62612016 |
10 | 30123024 |
11 | 16004968 |
12 | a108380 |
13 | 6318c99 |
14 | 4001ac8 |
15 | 29a0519 |
hex | 1cba410 |
30123024 has 40 divisors (see below), whose sum is σ = 78765792. Its totient is φ = 9918720.
The previous prime is 30123019. The next prime is 30123047. The reversal of 30123024 is 42032103.
It is a junction number, because it is equal to n+sod(n) for n = 30122994 and 30123012.
It is an unprimeable number.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 204 + ... + 7764.
Almost surely, 230123024 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 30123024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39382896).
30123024 is an abundant number, since it is smaller than the sum of its proper divisors (48642768).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
30123024 is a wasteful number, since it uses less digits than its factorization.
30123024 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 7655 (or 7649 counting only the distinct ones).
The product of its (nonzero) digits is 144, while the sum is 15.
The square root of 30123024 is about 5488.4445884057. Note that the first 3 decimals coincide. The cubic root of 30123024 is about 311.1474092947.
Adding to 30123024 its reverse (42032103), we get a palindrome (72155127).
The spelling of 30123024 in words is "thirty million, one hundred twenty-three thousand, twenty-four".
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