Search a number
-
+
1328310800 = 24523320777
BaseRepresentation
bin100111100101100…
…0110101000010000
310102120110011212022
41033023012220100
510210021421200
6335450151012
744626312145
oct11713065020
93376404768
101328310800
11621884623
12310a22468
1318226b12b
14c85b03cc
157b933885
hex4f2c6a10

1328310800 has 30 divisors (see below), whose sum is σ = 3191267658. Its totient is φ = 531324160.

The previous prime is 1328310779. The next prime is 1328310811. The reversal of 1328310800 is 80138231.

It can be written as a sum of positive squares in 3 ways, for example, as 23078416 + 1305232384 = 4804^2 + 36128^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1328310800.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 1659989 + ... + 1660788.

Almost surely, 21328310800 is an apocalyptic number.

1328310800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1328310800 is an abundant number, since it is smaller than the sum of its proper divisors (1862956858).

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

1328310800 is a wasteful number, since it uses less digits than its factorization.

1328310800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3320795 (or 3320784 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 1328310800 is about 36445.9984086045. The cubic root of 1328310800 is about 1099.2586740622.

The spelling of 1328310800 in words is "one billion, three hundred twenty-eight million, three hundred ten thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 3320777 6641554 13283108 16603885 26566216 33207770 53132432 66415540 83019425 132831080 166038850 265662160 332077700 664155400 1328310800