| Base | Representation |
|---|---|
| bin | 1110100011000001… |
| … | …1001001010100100 |
| 3 | 101002010221120002100 |
| 4 | 3220300121022210 |
| 5 | 30444140000400 |
| 6 | 1443253412100 |
| 7 | 165524644641 |
| oct | 35060311244 |
| 9 | 11063846070 |
| 10 | 3905000100 |
| 11 | 17242a8411 |
| 12 | 90b93a030 |
| 13 | 4a303ba61 |
| 14 | 2908a4dc8 |
| 15 | 17cc5c100 |
| hex | e8c192a4 |
3905000100 has 81 divisors (see below), whose sum is σ = 12245884833. Its totient is φ = 1040833440.
The previous prime is 3905000093. The next prime is 3905000107. The reversal of 3905000100 is 10005093.
The square root of 3905000100 is 62490.
It is a perfect power (a square), and thus also a powerful number.
It is an interprime number because it is at equal distance from previous prime (3905000093) and next prime (3905000107).
It can be written as a sum of positive squares in only one way, i.e., 1405800036 + 2499200064 = 37494^2 + 49992^2 .
It is a Harshad number since it is a multiple of its sum of digits (18).
It is not an unprimeable number, because it can be changed into a prime (3905000107) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1873659 + ... + 1875741.
Almost surely, 23905000100 is an apocalyptic number.
3905000100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.
3905000100 is the 62490-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 3905000100
3905000100 is an abundant number, since it is smaller than the sum of its proper divisors (8340884733).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3905000100 is a wasteful number, since it uses less digits than its factorization.
3905000100 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4186 (or 2093 counting only the distinct ones).
The product of its (nonzero) digits is 135, while the sum is 18.
The cubic root of 3905000100 is about 1574.7333184152.
Adding to 3905000100 its reverse (10005093), we get a palindrome (3915005193).
The spelling of 3905000100 in words is "three billion, nine hundred five million, one hundred", and thus it is an aban number.
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