Search a number
-
+
20053132000 = 2553111721983
BaseRepresentation
bin10010101011010000…
…101000001011100000
31220202112111122122121
4102223100220023200
5312032100211000
613113504114024
71306635544456
oct225320501340
956675448577
1020053132000
118560519970
123a77905914
131b776bb7a5
14d833969d6
157c5763b1a
hex4ab4282e0

20053132000 has 576 divisors, whose sum is σ = 60826671360. Its totient is φ = 6423552000.

The previous prime is 20053131997. The next prime is 20053132063. The reversal of 20053132000 is 23135002.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 241603959 + ... + 241604041.

It is an arithmetic number, because the mean of its divisors is an integer number (105601860).

Almost surely, 220053132000 is an apocalyptic number.

20053132000 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 20053132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30413335680).

20053132000 is an abundant number, since it is smaller than the sum of its proper divisors (40773539360).

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

20053132000 is a wasteful number, since it uses less digits than its factorization.

20053132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 16.

Adding to 20053132000 its reverse (23135002), we get a palindrome (20076267002).

The spelling of 20053132000 in words is "twenty billion, fifty-three million, one hundred thirty-two thousand".