Search a number
-
+
6894080 = 2952693
BaseRepresentation
bin11010010011001000000000
3110222020220022
4122103020000
53231102310
6403433012
7112412234
oct32231000
913866808
106894080
113989696
122385768
131574c4b
14cb65c4
15912a55
hex693200

6894080 has 40 divisors (see below), whose sum is σ = 16535772. Its totient is φ = 2756608.

The previous prime is 6894079. The next prime is 6894103. The reversal of 6894080 is 804986.

It can be written as a sum of positive squares in 2 ways, for example, as 6801664 + 92416 = 2608^2 + 304^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 6894080.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1214 + ... + 3906.

Almost surely, 26894080 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 6894080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8267886).

6894080 is an abundant number, since it is smaller than the sum of its proper divisors (9641692).

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

6894080 is an equidigital number, since it uses as much as digits as its factorization.

6894080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2716 (or 2700 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 35.

The square root of 6894080 is about 2625.6580127656. The cubic root of 6894080 is about 190.3233643989.

The spelling of 6894080 in words is "six million, eight hundred ninety-four thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1280 2560 2693 5386 10772 13465 21544 26930 43088 53860 86176 107720 172352 215440 344704 430880 689408 861760 1378816 1723520 3447040 6894080