Search a number
-
+
6720081120 = 25325192359181
BaseRepresentation
bin1100100001000110…
…00100110011100000
3122100100000111021100
412100203010303200
5102230320043440
63030454354400
7325346514144
oct62043046340
918310014240
106720081120
112939346455
12137665ba00
1383131947c
1447a6d3224
15294e75230
hex1908c4ce0

6720081120 has 576 divisors, whose sum is σ = 25757222400. Its totient is φ = 1587548160.

The previous prime is 6720081083. The next prime is 6720081127. The reversal of 6720081120 is 211800276.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6720081127) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 37127430 + ... + 37127610.

It is an arithmetic number, because the mean of its divisors is an integer number (44717400).

Almost surely, 26720081120 is an apocalyptic number.

6720081120 is a gapful number since it is divisible by the number (60) 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 6720081120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12878611200).

6720081120 is an abundant number, since it is smaller than the sum of its proper divisors (19037141280).

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

6720081120 is a wasteful number, since it uses less digits than its factorization.

6720081120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 6720081120 is about 81976.1009075206. The cubic root of 6720081120 is about 1887.0851853368.

Adding to 6720081120 its reverse (211800276), we get a palindrome (6931881396).

The spelling of 6720081120 in words is "six billion, seven hundred twenty million, eighty-one thousand, one hundred twenty".