| Base | Representation |
|---|---|
| bin | 111011001011100… |
| … | …0011000011000000 |
| 3 | 12010101112201101210 |
| 4 | 1312113003003000 |
| 5 | 13031323101110 |
| 6 | 525013330120 |
| 7 | 100131424110 |
| oct | 16627030300 |
| 9 | 5111481353 |
| 10 | 1985753280 |
| 11 | 9299a6915 |
| 12 | 475036940 |
| 13 | 258529854 |
| 14 | 14ba2b040 |
| 15 | b94eb520 |
| hex | 765c30c0 |
1985753280 has 224 divisors, whose sum is σ = 7274234880. Its totient is φ = 449556480.
The previous prime is 1985753269. The next prime is 1985753281. The reversal of 1985753280 is 823575891.
It is a tau number, because it is divible by the number of its divisors (224).
It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.
It is a Harshad number since it is a multiple of its sum of digits (48).
It is not an unprimeable number, because it can be changed into a prime (1985753281) 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 31 ways as a sum of consecutive naturals, for example, 731125 + ... + 733835.
Almost surely, 21985753280 is an apocalyptic number.
1985753280 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 1985753280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3637117440).
1985753280 is an abundant number, since it is smaller than the sum of its proper divisors (5288481600).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1985753280 is a wasteful number, since it uses less digits than its factorization.
1985753280 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2847 (or 2837 counting only the distinct ones).
The product of its (nonzero) digits is 604800, while the sum is 48.
The square root of 1985753280 is about 44561.7917054510. The cubic root of 1985753280 is about 1256.9222944416.
It can be divided in two parts, 19857 and 53280, that added together give a palindrome (73137).
The spelling of 1985753280 in words is "one billion, nine hundred eighty-five million, seven hundred fifty-three thousand, two hundred eighty".
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