| Base | Representation |
|---|---|
| bin | 1100011000111… |
| … | …01001001010000 |
| 3 | 21020120002222000 |
| 4 | 12030131021100 |
| 5 | 203101202100 |
| 6 | 14151314000 |
| 7 | 2401243152 |
| oct | 614351120 |
| 9 | 236502860 |
| 10 | 103928400 |
| 11 | 53734a44 |
| 12 | 2a97b900 |
| 13 | 186ba8c4 |
| 14 | db34ad2 |
| 15 | 91cd900 |
| hex | 631d250 |
103928400 has 120 divisors (see below), whose sum is σ = 369946560. Its totient is φ = 27711360.
The previous prime is 103928393. The next prime is 103928401. The reversal of 103928400 is 4829301.
It is a tau number, because it is divible by the number of its divisors (120).
It is a super-2 number, since 2×1039284002 = 21602224653120000, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (103928401) by changing a digit.
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 23 ways as a sum of consecutive naturals, for example, 5989 + ... + 15611.
It is an arithmetic number, because the mean of its divisors is an integer number (3082888).
Almost surely, 2103928400 is an apocalyptic number.
103928400 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 103928400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184973280).
103928400 is an abundant number, since it is smaller than the sum of its proper divisors (266018160).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
103928400 is a wasteful number, since it uses less digits than its factorization.
103928400 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 9650 (or 9633 counting only the distinct ones).
The product of its (nonzero) digits is 1728, while the sum is 27.
The square root of 103928400 is about 10194.5279439511. The cubic root of 103928400 is about 470.1589925353.
Subtracting from 103928400 its reverse (4829301), we obtain a palindrome (99099099).
The spelling of 103928400 in words is "one hundred three million, nine hundred twenty-eight thousand, four hundred".
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