Search a number
-
+
2103340800 = 283521123433
BaseRepresentation
bin111110101011110…
…0110111100000000
312102120210210011010
41331113212330000
513301423401200
6544413520520
7103060046631
oct17527467400
95376723133
102103340800
1198a310090
124a84a3140
132769ba672
1415d4b9888
15c49c7150
hex7d5e6f00

2103340800 has 432 divisors, whose sum is σ = 7919993088. Its totient is φ = 486604800.

The previous prime is 2103340763. The next prime is 2103340801. The reversal of 2103340800 is 80433012.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2103340801) 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 47 ways as a sum of consecutive naturals, for example, 4857384 + ... + 4857816.

Almost surely, 22103340800 is an apocalyptic number.

2103340800 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 2103340800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3959996544).

2103340800 is an abundant number, since it is smaller than the sum of its proper divisors (5816652288).

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

2103340800 is a wasteful number, since it uses less digits than its factorization.

2103340800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 2103340800 is about 45862.1935803337. The cubic root of 2103340800 is about 1281.2578780400.

Adding to 2103340800 its reverse (80433012), we get a palindrome (2183773812).

The spelling of 2103340800 in words is "two billion, one hundred three million, three hundred forty thousand, eight hundred".