Search a number
-
+
6534864 = 243372161
BaseRepresentation
bin11000111011011011010000
3110022000011000
4120323123100
53133103424
6352022000
7106355040
oct30733320
913260130
106534864
113763816
122231900
13147a5ab
14c21720
158913c9
hex63b6d0

6534864 has 80 divisors (see below), whose sum is σ = 21447040. Its totient is φ = 1866240.

The previous prime is 6534859. The next prime is 6534883. The reversal of 6534864 is 4684356.

6534864 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 3.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1944 + ... + 4104.

It is an arithmetic number, because the mean of its divisors is an integer number (268088).

Almost surely, 26534864 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 6534864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10723520).

6534864 is an abundant number, since it is smaller than the sum of its proper divisors (14912176).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6534864 is a wasteful number, since it uses less digits than its factorization.

6534864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2185 (or 2173 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 6534864 is about 2556.3380058200. The cubic root of 6534864 is about 186.9586304055.

It can be divided in two parts, 6534 and 864, that multiplied together give a square (5645376 = 23762).

The spelling of 6534864 in words is "six million, five hundred thirty-four thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 756 1008 1512 2161 3024 4322 6483 8644 12966 15127 17288 19449 25932 30254 34576 38898 45381 51864 58347 60508 77796 90762 103728 116694 121016 136143 155592 181524 233388 242032 272286 311184 363048 408429 466776 544572 726096 816858 933552 1089144 1633716 2178288 3267432 6534864