| Base | Representation |
|---|---|
| bin | 1111000100010… |
| … | …1011010110100 |
| 3 | 11101220211121000 |
| 4 | 3301011122310 |
| 5 | 112134331100 |
| 6 | 10134323300 |
| 7 | 1365116232 |
| oct | 361053264 |
| 9 | 141824530 |
| 10 | 63198900 |
| 11 | 327462a6 |
| 12 | 191b9530 |
| 13 | 10129ccb |
| 14 | 8571952 |
| 15 | 5835900 |
| hex | 3c456b4 |
63198900 has 144 divisors (see below), whose sum is σ = 206236800. Its totient is φ = 16600320.
The previous prime is 63198899. The next prime is 63198907. The reversal of 63198900 is 989136.
63198900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×631989002 = 7988201922420000, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (63198907) 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, 240169 + ... + 240431.
It is an arithmetic number, because the mean of its divisors is an integer number (1432200).
Almost surely, 263198900 is an apocalyptic number.
63198900 is a gapful number since it is divisible by the number (60) 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 63198900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103118400).
63198900 is an abundant number, since it is smaller than the sum of its proper divisors (143037900).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
63198900 is a wasteful number, since it uses less digits than its factorization.
63198900 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 375 (or 362 counting only the distinct ones).
The product of its (nonzero) digits is 11664, while the sum is 36.
The square root of 63198900 is about 7949.7735816814. The cubic root of 63198900 is about 398.3240292795.
The spelling of 63198900 in words is "sixty-three million, one hundred ninety-eight thousand, nine hundred".
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