| Base | Representation |
|---|---|
| bin | 1110010011111… |
| … | …00011001100000 |
| 3 | 22100220000210121 |
| 4 | 13021330121200 |
| 5 | 221213002300 |
| 6 | 15525010024 |
| 7 | 2655245560 |
| oct | 711743140 |
| 9 | 270800717 |
| 10 | 120047200 |
| 11 | 61844269 |
| 12 | 34253914 |
| 13 | 1bb42560 |
| 14 | 11d2cda0 |
| 15 | a81481a |
| hex | 727c660 |
120047200 has 288 divisors, whose sum is σ = 385850304. Its totient is φ = 35389440.
The previous prime is 120047177. The next prime is 120047201. The reversal of 120047200 is 2740021.
It is a super-2 number, since 2×1200472002 = 28822660455680000, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (16).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (120047201) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1237552 + ... + 1237648.
It is an arithmetic number, because the mean of its divisors is an integer number (1339758).
Almost surely, 2120047200 is an apocalyptic number.
120047200 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 120047200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192925152).
120047200 is an abundant number, since it is smaller than the sum of its proper divisors (265803104).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
120047200 is a wasteful number, since it uses less digits than its factorization.
120047200 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 154 (or 141 counting only the distinct ones).
The product of its (nonzero) digits is 112, while the sum is 16.
The square root of 120047200 is about 10956.6053136909. The cubic root of 120047200 is about 493.3070759501.
Adding to 120047200 its reverse (2740021), we get a palindrome (122787221).
It can be divided in two parts, 1200 and 47200, that added together give a square (48400 = 2202).
The spelling of 120047200 in words is "one hundred twenty million, forty-seven thousand, two hundred".
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