Base | Representation |
---|---|
bin | 111100110011111… |
… | …010010010000000 |
3 | 2122002202121120121 |
4 | 330303322102000 |
5 | 4042140203044 |
6 | 245123150024 |
7 | 34165622425 |
oct | 7463722200 |
9 | 2562677517 |
10 | 1020241024 |
11 | 483999200 |
12 | 245815314 |
13 | 1334a621a |
14 | 996d9d4c |
15 | 5e87d984 |
hex | 3ccfa480 |
1020241024 has 96 divisors (see below), whose sum is σ = 2352344400. Its totient is φ = 439211520.
The previous prime is 1020241021. The next prime is 1020241037. The reversal of 1020241024 is 4201420201.
It is a Harshad number since it is a multiple of its sum of digits (16).
It is a junction number, because it is equal to n+sod(n) for n = 1020240989 and 1020241007.
It is not an unprimeable number, because it can be changed into a prime (1020241021) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 292539 + ... + 296005.
Almost surely, 21020241024 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 1020241024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1176172200).
1020241024 is an abundant number, since it is smaller than the sum of its proper divisors (1332103376).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1020241024 is a wasteful number, since it uses less digits than its factorization.
1020241024 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3522 (or 3499 counting only the distinct ones).
The product of its (nonzero) digits is 128, while the sum is 16.
The square root of 1020241024 is about 31941.2119995469. The cubic root of 1020241024 is about 1006.7019909733.
Adding to 1020241024 its reverse (4201420201), we get a palindrome (5221661225).
The spelling of 1020241024 in words is "one billion, twenty million, two hundred forty-one thousand, twenty-four".
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