Base | Representation |
---|---|
bin | 1111010110101… |
… | …0001010110000 |
3 | 11111011202110010 |
4 | 3311222022300 |
5 | 112441214000 |
6 | 10220134520 |
7 | 1411242162 |
oct | 365521260 |
9 | 144152403 |
10 | 64398000 |
11 | 33395197 |
12 | 19697440 |
13 | 10459a34 |
14 | 87a4932 |
15 | 59c0d50 |
hex | 3d6a2b0 |
64398000 has 80 divisors (see below), whose sum is σ = 207638496. Its totient is φ = 17171200.
The previous prime is 64397987. The next prime is 64398007. The reversal of 64398000 is 89346.
64398000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (80).
It is a Harshad number since it is a multiple of its sum of digits (30).
It is not an unprimeable number, because it can be changed into a prime (64398007) 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, 634 + ... + 11366.
Almost surely, 264398000 is an apocalyptic number.
64398000 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 64398000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103819248).
64398000 is an abundant number, since it is smaller than the sum of its proper divisors (143240496).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
64398000 is a wasteful number, since it uses less digits than its factorization.
64398000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 10759 (or 10743 counting only the distinct ones).
The product of its (nonzero) digits is 5184, while the sum is 30.
The square root of 64398000 is about 8024.8364469315. The cubic root of 64398000 is about 400.8274537869.
The spelling of 64398000 in words is "sixty-four million, three hundred ninety-eight thousand".
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