Base | Representation |
---|---|
bin | 1111011111110… |
… | …1011001000000 |
3 | 11112022101122100 |
4 | 3313331121000 |
5 | 113120013044 |
6 | 10241110400 |
7 | 1416333234 |
oct | 367753100 |
9 | 145271570 |
10 | 65001024 |
11 | 33767260 |
12 | 19928400 |
13 | 1060b35a |
14 | 88c05c4 |
15 | 5a8e869 |
hex | 3dfd640 |
65001024 has 84 divisors (see below), whose sum is σ = 203271120. Its totient is φ = 19695360.
The previous prime is 65001019. The next prime is 65001037. The reversal of 65001024 is 42010056.
It is a happy number.
65001024 is a `hidden beast` number, since 650 + 0 + 10 + 2 + 4 = 666.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 65000988 and 65001006.
It is an unprimeable number.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1207 + ... + 11465.
Almost surely, 265001024 is an apocalyptic number.
65001024 is a gapful number since it is divisible by the number (64) 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 65001024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101635560).
65001024 is an abundant number, since it is smaller than the sum of its proper divisors (138270096).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
65001024 is a wasteful number, since it uses less digits than its factorization.
65001024 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 10288 (or 10275 counting only the distinct ones).
The product of its (nonzero) digits is 240, while the sum is 18.
The square root of 65001024 is about 8062.3212538325. The cubic root of 65001024 is about 402.0746872443.
The spelling of 65001024 in words is "sixty-five million, one thousand, twenty-four".
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