| Base | Representation |
|---|---|
| bin | 1101011100110… |
| … | …00000010110000 |
| 3 | 21212021212111100 |
| 4 | 12232120002300 |
| 5 | 212340223100 |
| 6 | 15110044400 |
| 7 | 2536646310 |
| oct | 656300260 |
| 9 | 255255440 |
| 10 | 112820400 |
| 11 | 58758700 |
| 12 | 31949700 |
| 13 | 1a4b2044 |
| 14 | 10dab440 |
| 15 | 9d88400 |
| hex | 6b980b0 |
112820400 has 540 divisors, whose sum is σ = 505116976. Its totient is φ = 22809600.
The previous prime is 112820399. The next prime is 112820401. The reversal of 112820400 is 4028211.
112820400 = T295 + T296 + ... + T888.
It is an interprime number because it is at equal distance from previous prime (112820399) and next prime (112820401).
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 (112820401) 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 107 ways as a sum of consecutive naturals, for example, 3049182 + ... + 3049218.
Almost surely, 2112820400 is an apocalyptic number.
112820400 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 112820400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252558488).
112820400 is an abundant number, since it is smaller than the sum of its proper divisors (392296576).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
112820400 is a wasteful number, since it uses less digits than its factorization.
112820400 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 90 (or 65 counting only the distinct ones).
The product of its (nonzero) digits is 128, while the sum is 18.
The square root of 112820400 is about 10621.6947800245. The cubic root of 112820400 is about 483.2025435520.
Adding to 112820400 its reverse (4028211), we get a palindrome (116848611).
It can be divided in two parts, 1128 and 20400, that added together give a triangular number (21528 = T207).
The spelling of 112820400 in words is "one hundred twelve million, eight hundred twenty thousand, four hundred".
• e-mail: info -at- numbersaplenty.com • Privacy notice • done in 0.064 sec. • engine limits •