| Base | Representation |
|---|---|
| bin | 101010011001… |
| … | …011110100000 |
| 3 | 202220200002110 |
| 4 | 222121132200 |
| 5 | 10321130100 |
| 6 | 1034115320 |
| 7 | 163320333 |
| oct | 52313640 |
| 9 | 22820073 |
| 10 | 11114400 |
| 11 | 6301460 |
| 12 | 387bb40 |
| 13 | 23c1b8b |
| 14 | 169461a |
| 15 | e98250 |
| hex | a997a0 |
11114400 has 144 divisors (see below), whose sum is σ = 39559968. Its totient is φ = 2688000.
The previous prime is 11114387. The next prime is 11114401. The reversal of 11114400 is 441111.
It is a Harshad number since it is a multiple of its sum of digits (12).
It is a zygodrome in base 10.
It is not an unprimeable number, because it can be changed into a prime (11114401) 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, 26190 + ... + 26610.
It is an arithmetic number, because the mean of its divisors is an integer number (274722).
Almost surely, 211114400 is an apocalyptic number.
11114400 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 11114400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19779984).
11114400 is an abundant number, since it is smaller than the sum of its proper divisors (28445568).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
11114400 is a wasteful number, since it uses less digits than its factorization.
11114400 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 455 (or 442 counting only the distinct ones).
The product of its (nonzero) digits is 16, while the sum is 12.
The square root of 11114400 is about 3333.8266301654. The cubic root of 11114400 is about 223.1663314280.
Adding to 11114400 its reverse (441111), we get a palindrome (11555511).
Subtracting from 11114400 its reverse (441111), we obtain a square (10673289 = 32672).
It can be divided in two parts, 11 and 114400, that added together give a palindrome (114411).
The spelling of 11114400 in words is "eleven million, one hundred fourteen thousand, four hundred".
• e-mail: info -at- numbersaplenty.com • Privacy notice • done in 0.065 sec. • engine limits •