| Base | Representation |
|---|---|
| bin | 1100011001110… |
| … | …00000000000000 |
| 3 | 21020202200212002 |
| 4 | 12030320000000 |
| 5 | 203113212100 |
| 6 | 14153523132 |
| 7 | 2402211644 |
| oct | 614700000 |
| 9 | 236680762 |
| 10 | 104038400 |
| 11 | 537aa654 |
| 12 | 2aa134a8 |
| 13 | 187289ab |
| 14 | db62c24 |
| 15 | 92012d5 |
| hex | 6338000 |
104038400 has 96 divisors (see below), whose sum is σ = 260042880. Its totient is φ = 41287680.
The previous prime is 104038391. The next prime is 104038409. The reversal of 104038400 is 4830401.
It is an interprime number because it is at equal distance from previous prime (104038391) and next prime (104038409).
It is a Harshad number since it is a multiple of its sum of digits (20).
It is a zygodrome in base 2.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (104038409) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 819137 + ... + 819263.
It is an arithmetic number, because the mean of its divisors is an integer number (2708780).
Almost surely, 2104038400 is an apocalyptic number.
104038400 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 104038400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130021440).
104038400 is an abundant number, since it is smaller than the sum of its proper divisors (156004480).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
104038400 is an frugal number, since it uses more digits than its factorization.
104038400 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 167 (or 134 counting only the distinct ones).
The product of its (nonzero) digits is 384, while the sum is 20.
The square root of 104038400 is about 10199.9215683259. The cubic root of 104038400 is about 470.3248094297.
Adding to 104038400 its reverse (4830401), we get a palindrome (108868801).
The spelling of 104038400 in words is "one hundred four million, thirty-eight thousand, four hundred".
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