Base | Representation |
---|---|
bin | 111100111010110… |
… | …001011111010100 |
3 | 2122020011000100002 |
4 | 330322301133110 |
5 | 4043120240040 |
6 | 245225510432 |
7 | 34220124341 |
oct | 7472613724 |
9 | 2566130302 |
10 | 1022040020 |
11 | 484a07881 |
12 | 246342418 |
13 | 133986011 |
14 | 99a477c8 |
15 | 5ead6a15 |
hex | 3ceb17d4 |
1022040020 has 48 divisors (see below), whose sum is σ = 2263282560. Its totient is φ = 386607744.
The previous prime is 1022039999. The next prime is 1022040037. The reversal of 1022040020 is 200402201.
It is a junction number, because it is equal to n+sod(n) for n = 1022039983 and 1022040010.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 243782 + ... + 247938.
It is an arithmetic number, because the mean of its divisors is an integer number (47151720).
Almost surely, 21022040020 is an apocalyptic number.
1022040020 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 1022040020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1131641280).
1022040020 is an abundant number, since it is smaller than the sum of its proper divisors (1241242540).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1022040020 is a wasteful number, since it uses less digits than its factorization.
1022040020 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 4832 (or 4830 counting only the distinct ones).
The product of its (nonzero) digits is 32, while the sum is 11.
The square root of 1022040020 is about 31969.3606442168. The cubic root of 1022040020 is about 1007.2933510455.
Adding to 1022040020 its reverse (200402201), we get a palindrome (1222442221).
The spelling of 1022040020 in words is "one billion, twenty-two million, forty thousand, twenty".
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