Search a number
-
+
1328768 = 2771483
BaseRepresentation
bin101000100011010000000
32111111201122
411010122000
5320010033
644251412
714202650
oct5043200
92444648
101328768
11828361
12540b68
13376a6c
14268360
151b3a98
hex144680

1328768 has 32 divisors (see below), whose sum is σ = 3027360. Its totient is φ = 569088.

The previous prime is 1328749. The next prime is 1328777. The reversal of 1328768 is 8678231.

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 155 + ... + 1637.

It is an arithmetic number, because the mean of its divisors is an integer number (94605).

21328768 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 1328768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1513680).

1328768 is an abundant number, since it is smaller than the sum of its proper divisors (1698592).

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

1328768 is an equidigital number, since it uses as much as digits as its factorization.

1328768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1504 (or 1492 counting only the distinct ones).

The product of its digits is 16128, while the sum is 35.

The square root of 1328768 is about 1152.7219959730. The cubic root of 1328768 is about 109.9384779944.

The spelling of 1328768 in words is "one million, three hundred twenty-eight thousand, seven hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 448 896 1483 2966 5932 10381 11864 20762 23728 41524 47456 83048 94912 166096 189824 332192 664384 1328768