Base | Representation |
---|---|
bin | 111110000000011… |
… | …011111111000000 |
3 | 2200111111211002022 |
4 | 332000123333000 |
5 | 4112304131031 |
6 | 251121141012 |
7 | 34531264325 |
oct | 7600337700 |
9 | 2614454068 |
10 | 1040302016 |
11 | 494250336 |
12 | 25048a768 |
13 | 1376ab330 |
14 | 9c23cb4c |
15 | 614e297b |
hex | 3e01bfc0 |
1040302016 has 56 divisors (see below), whose sum is σ = 2227265040. Its totient is φ = 479250432.
The previous prime is 1040302009. The next prime is 1040302033. The reversal of 1040302016 is 6102030401.
1040302016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a junction number, because it is equal to n+sod(n) for n = 1040301985 and 1040302003.
It is a congruent number.
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, 712295 + ... + 713753.
It is an arithmetic number, because the mean of its divisors is an integer number (39772590).
Almost surely, 21040302016 is an apocalyptic number.
1040302016 is a gapful number since it is divisible by the number (16) 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 1040302016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1113632520).
1040302016 is an abundant number, since it is smaller than the sum of its proper divisors (1186963024).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1040302016 is a wasteful number, since it uses less digits than its factorization.
1040302016 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2341 (or 2331 counting only the distinct ones).
The product of its (nonzero) digits is 144, while the sum is 17.
The square root of 1040302016 is about 32253.7132125900. The cubic root of 1040302016 is about 1013.2574681585.
Adding to 1040302016 its reverse (6102030401), we get a palindrome (7142332417).
The spelling of 1040302016 in words is "one billion, forty million, three hundred two thousand, sixteen".
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