Base | Representation |
---|---|
bin | 111100110010111… |
… | …111110010010000 |
3 | 2122002022102220112 |
4 | 330302333302100 |
5 | 4042110021144 |
6 | 245114100452 |
7 | 34163604041 |
oct | 7462776220 |
9 | 2562272815 |
10 | 1020001424 |
11 | 483845192 |
12 | 24571a728 |
13 | 133421150 |
14 | 996768c8 |
15 | 5e83299e |
hex | 3ccbfc90 |
1020001424 has 80 divisors (see below), whose sum is σ = 2243856384. Its totient is φ = 445632000.
The previous prime is 1020001421. The next prime is 1020001439. The reversal of 1020001424 is 4241000201.
It is a super-3 number, since 3×10200014243 (a number of 28 digits) contains 333 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 1020001399 and 1020001408.
It is not an unprimeable number, because it can be changed into a prime (1020001421) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 482129 + ... + 484239.
Almost surely, 21020001424 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 1020001424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1121928192).
1020001424 is an abundant number, since it is smaller than the sum of its proper divisors (1223854960).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1020001424 is a wasteful number, since it uses less digits than its factorization.
1020001424 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2256 (or 2250 counting only the distinct ones).
The product of its (nonzero) digits is 64, while the sum is 14.
The square root of 1020001424 is about 31937.4611389196. The cubic root of 1020001424 is about 1006.6231780013.
Adding to 1020001424 its reverse (4241000201), we get a palindrome (5261001625).
The spelling of 1020001424 in words is "one billion, twenty million, one thousand, four hundred twenty-four".
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