Search a number
-
+
683720128 = 26721331541
BaseRepresentation
bin101000110000001…
…011110111000000
31202122112120200201
4220300023313000
52400013021003
6151502254544
722641345100
oct5060136700
91678476621
10683720128
11320a40063
12170b87454
13ab85c330
1466b3b200
1540058b1d
hex28c0bdc0

683720128 has 168 divisors, whose sum is σ = 1757745024. Its totient is φ = 261273600.

The previous prime is 683720123. The next prime is 683720137. The reversal of 683720128 is 821027386.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (683720123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1263538 + ... + 1264078.

It is an arithmetic number, because the mean of its divisors is an integer number (10462768).

Almost surely, 2683720128 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 683720128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (878872512).

683720128 is an abundant number, since it is smaller than the sum of its proper divisors (1074024896).

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

683720128 is a wasteful number, since it uses less digits than its factorization.

683720128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 611 (or 594 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 37.

The square root of 683720128 is about 26148.0425271185. The cubic root of 683720128 is about 880.9666237872.

The spelling of 683720128 in words is "six hundred eighty-three million, seven hundred twenty thousand, one hundred twenty-eight".