| Base | Representation |
|---|---|
| bin | 11000010100000… |
| … | …00001001100000 |
| 3 | 112012202122221100 |
| 4 | 30022000021200 |
| 5 | 404202324030 |
| 6 | 32123154400 |
| 7 | 5024351310 |
| oct | 1412001140 |
| 9 | 465678840 |
| 10 | 203948640 |
| 11 | a513a6a5 |
| 12 | 58375a00 |
| 13 | 3333a68c |
| 14 | 1d12d440 |
| 15 | 12d89360 |
| hex | c280260 |
203948640 has 144 divisors (see below), whose sum is σ = 795439008. Its totient is φ = 46614528.
The previous prime is 203948639. The next prime is 203948653. The reversal of 203948640 is 46849302.
It is a happy number.
203948640 is a `hidden beast` number, since 2 + 0 + 3 + 9 + 4 + 8 + 640 = 666.
It is a tau number, because it is divible by the number of its divisors (144).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 203948595 and 203948604.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37 + ... + 20196.
It is an arithmetic number, because the mean of its divisors is an integer number (5523882).
Almost surely, 2203948640 is an apocalyptic number.
203948640 is a gapful number since it is divisible by the number (20) 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 203948640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397719504).
203948640 is an abundant number, since it is smaller than the sum of its proper divisors (591490368).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
203948640 is a wasteful number, since it uses less digits than its factorization.
203948640 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 20261 (or 20250 counting only the distinct ones).
The product of its (nonzero) digits is 41472, while the sum is 36.
The square root of 203948640 is about 14281.0587842779. The cubic root of 203948640 is about 588.6271248839.
The spelling of 203948640 in words is "two hundred three million, nine hundred forty-eight thousand, six hundred forty".
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