Search a number
-
+
6231010720 = 255115367997
BaseRepresentation
bin1011100110110010…
…11010110110100000
3121002020202010210211
411303121122312200
5100230114320340
62510144103504
7310260501004
oct56331326640
917066663724
106231010720
112708274640
12125a904b94
13783bc00bc
14431784704
1526706a5ea
hex17365ada0

6231010720 has 192 divisors, whose sum is σ = 16622879616. Its totient is φ = 2187694080.

The previous prime is 6231010717. The next prime is 6231010729. The reversal of 6231010720 is 270101326.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 6231010691 and 6231010700.

It is not an unprimeable number, because it can be changed into a prime (6231010729) 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 31 ways as a sum of consecutive naturals, for example, 6249262 + ... + 6250258.

It is an arithmetic number, because the mean of its divisors is an integer number (86577498).

Almost surely, 26231010720 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6231010720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8311439808).

6231010720 is an abundant number, since it is smaller than the sum of its proper divisors (10391868896).

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

6231010720 is a wasteful number, since it uses less digits than its factorization.

6231010720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1143 (or 1135 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 22.

The square root of 6231010720 is about 78936.7513899578. The cubic root of 6231010720 is about 1840.1483339773.

The spelling of 6231010720 in words is "six billion, two hundred thirty-one million, ten thousand, seven hundred twenty".