Search a number
-
+
1680328650 = 23527111319231
BaseRepresentation
bin110010000100111…
…1100011111001010
311100002211112120110
41210021330133022
511420131004100
6434423135150
756432362230
oct14411743712
94302745513
101680328650
11792557870
123aa8a44b6
1320a17c910
1411d244950
159c7ba250
hex6427c7ca

1680328650 has 576 divisors, whose sum is σ = 6095609856. Its totient is φ = 295488000.

The previous prime is 1680328627. The next prime is 1680328651. The reversal of 1680328650 is 568230861.

It is a happy number.

1680328650 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 1680328599 and 1680328608.

It is not an unprimeable number, because it can be changed into a prime (1680328651) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 54204135 + ... + 54204165.

It is an arithmetic number, because the mean of its divisors is an integer number (10582656).

Almost surely, 21680328650 is an apocalyptic number.

1680328650 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1680328650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3047804928).

1680328650 is an abundant number, since it is smaller than the sum of its proper divisors (4415281206).

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

1680328650 is a wasteful number, since it uses less digits than its factorization.

1680328650 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 1680328650 is about 40991.8119872738. The cubic root of 1680328650 is about 1188.8619041471.

The spelling of 1680328650 in words is "one billion, six hundred eighty million, three hundred twenty-eight thousand, six hundred fifty".