Search a number
-
+
1203320664 = 2333713292111
BaseRepresentation
bin100011110111001…
…0011011101011000
310002212021000122000
41013232103131120
54431022230124
6315223201000
741551025340
oct10756233530
93085230560
101203320664
11568274697
12296ba6160
131623b7a80
14b5b55d20
15709946c9
hex47b93758

1203320664 has 256 divisors, whose sum is σ = 4257792000. Its totient is φ = 306270720.

The previous prime is 1203320641. The next prime is 1203320669. The reversal of 1203320664 is 4660233021.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1203320669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 568969 + ... + 571079.

It is an arithmetic number, because the mean of its divisors is an integer number (16632000).

Almost surely, 21203320664 is an apocalyptic number.

1203320664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1203320664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2128896000).

1203320664 is an abundant number, since it is smaller than the sum of its proper divisors (3054471336).

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

1203320664 is a wasteful number, since it uses less digits than its factorization.

1203320664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2175 (or 2165 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 1203320664 is about 34688.9126955574. The cubic root of 1203320664 is about 1063.6378697725.

Adding to 1203320664 its reverse (4660233021), we get a palindrome (5863553685).

The spelling of 1203320664 in words is "one billion, two hundred three million, three hundred twenty thousand, six hundred sixty-four".