Search a number
-
+
20303200320 = 2635132235441
BaseRepresentation
bin10010111010001010…
…100100000001000000
31221101222001102220020
4102322022210001000
5313040104402240
613154400013440
71316063232564
oct227212440100
957358042806
1020303200320
1186796999a7
123b27601280
131bb7456300
14da868d6a4
157dc6ad0d0
hex4ba2a4040

20303200320 has 336 divisors, whose sum is σ = 72851052672. Its totient is φ = 4779540480.

The previous prime is 20303200273. The next prime is 20303200339. The reversal of 20303200320 is 2300230302.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 20303200320.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3728800 + ... + 3734240.

Almost surely, 220303200320 is an apocalyptic number.

20303200320 is a gapful number since it is divisible by the number (20) 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 20303200320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36425526336).

20303200320 is an abundant number, since it is smaller than the sum of its proper divisors (52547852352).

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

20303200320 is a wasteful number, since it uses less digits than its factorization.

20303200320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5510 (or 5487 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 15.

Adding to 20303200320 its reverse (2300230302), we get a palindrome (22603430622).

The spelling of 20303200320 in words is "twenty billion, three hundred three million, two hundred thousand, three hundred twenty".