| Base | Representation |
|---|---|
| bin | 1111100010111… |
| … | …0111010000000 |
| 3 | 11112200200212001 |
| 4 | 3320232322000 |
| 5 | 113143010330 |
| 6 | 10245313344 |
| 7 | 1421136442 |
| oct | 370567200 |
| 9 | 145620761 |
| 10 | 65203840 |
| 11 | 33895679 |
| 12 | 19a05854 |
| 13 | 1067c770 |
| 14 | 8934492 |
| 15 | 5ace9ca |
| hex | 3e2ee80 |
65203840 has 128 divisors (see below), whose sum is σ = 178128720. Its totient is φ = 22609920.
The previous prime is 65203837. The next prime is 65203849. The reversal of 65203840 is 4830256.
65203840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 8 ways, for example, as 19289664 + 45914176 = 4392^2 + 6776^2 .
It is a tau number, because it is divible by the number of its divisors (128).
It is a junction number, because it is equal to n+sod(n) for n = 65203799 and 65203808.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (65203849) 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 15 ways as a sum of consecutive naturals, for example, 141210 + ... + 141670.
Almost surely, 265203840 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 65203840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89064360).
65203840 is an abundant number, since it is smaller than the sum of its proper divisors (112924880).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
65203840 is a wasteful number, since it uses less digits than its factorization.
65203840 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 510 (or 498 counting only the distinct ones).
The product of its (nonzero) digits is 5760, while the sum is 28.
The square root of 65203840 is about 8074.8894729278. The cubic root of 65203840 is about 402.4924371353.
It can be divided in two parts, 65 and 203840, that multiplied together give a square (13249600 = 36402).
The spelling of 65203840 in words is "sixty-five million, two hundred three thousand, eight hundred forty".
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