Search a number
-
+
6867536 = 2413137241
BaseRepresentation
bin11010001100101001010000
3110220220111012
4122030221100
53224230121
6403110052
7112241654
oct32145120
913826435
106867536
113970755
122372328
131565b40
14caaa64
15909c5b
hex68ca50

6867536 has 40 divisors (see below), whose sum is σ = 14493864. Its totient is φ = 3133440.

The previous prime is 6867529. The next prime is 6867551. The reversal of 6867536 is 6357686.

It can be written as a sum of positive squares in 4 ways, for example, as 913936 + 5953600 = 956^2 + 2440^2 .

It is a super-2 number, since 2×68675362 = 94326101422592, which contains 22 as substring.

It is a nialpdrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 6867493 and 6867502.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28376 + ... + 28616.

Almost surely, 26867536 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 6867536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7246932).

6867536 is an abundant number, since it is smaller than the sum of its proper divisors (7626328).

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

6867536 is a wasteful number, since it uses less digits than its factorization.

6867536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399 (or 393 counting only the distinct ones).

The product of its digits is 181440, while the sum is 41.

The square root of 6867536 is about 2620.5984049449. The cubic root of 6867536 is about 190.0787854242.

The spelling of 6867536 in words is "six million, eight hundred sixty-seven thousand, five hundred thirty-six".

Divisors: 1 2 4 8 13 16 26 52 104 137 208 241 274 482 548 964 1096 1781 1928 2192 3133 3562 3856 6266 7124 12532 14248 25064 28496 33017 50128 66034 132068 264136 429221 528272 858442 1716884 3433768 6867536