| Base | Representation |
|---|---|
| bin | 1100011000001… |
| … | …11101010100000 |
| 3 | 21020101122021100 |
| 4 | 12030013222200 |
| 5 | 203040343131 |
| 6 | 14145354400 |
| 7 | 2400425511 |
| oct | 614075240 |
| 9 | 236348240 |
| 10 | 103840416 |
| 11 | 53684929 |
| 12 | 2a938a00 |
| 13 | 18689844 |
| 14 | db10a08 |
| 15 | 91b27e6 |
| hex | 6307aa0 |
103840416 has 72 divisors (see below), whose sum is σ = 305503380. Its totient is φ = 33417216.
The previous prime is 103840349. The next prime is 103840439. The reversal of 103840416 is 614048301.
It can be written as a sum of positive squares in 2 ways, for example, as 99920016 + 3920400 = 9996^2 + 1980^2 .
It is a tau number, because it is divible by the number of its divisors (72).
It is a super-3 number, since 3×1038404163 (a number of 25 digits) contains 333 as substring.
It is a self number, because there is not a number n which added to its sum of digits gives 103840416.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2136 + ... + 14568.
Almost surely, 2103840416 is an apocalyptic number.
103840416 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 103840416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152751690).
103840416 is an abundant number, since it is smaller than the sum of its proper divisors (201662964).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
103840416 is a wasteful number, since it uses less digits than its factorization.
103840416 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 12478 (or 12467 counting only the distinct ones).
The product of its (nonzero) digits is 2304, while the sum is 27.
The square root of 103840416 is about 10190.2117740506. The cubic root of 103840416 is about 470.0262788988.
Adding to 103840416 its reverse (614048301), we get a palindrome (717888717).
The spelling of 103840416 in words is "one hundred three million, eight hundred forty thousand, four hundred sixteen".
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