Search a number
-
+
806687060 = 225174095801
BaseRepresentation
bin110000000101010…
…001000101010100
32002012220221121112
4300011101011110
53123002441220
6212014034152
725663504214
oct6005210524
92065827545
10806687060
11384398a23
121a61a8958
13cb18482a
14791ca244
154ac485c5
hex30151154

806687060 has 48 divisors (see below), whose sum is σ = 1798387920. Its totient is φ = 302899200.

The previous prime is 806687041. The next prime is 806687081. The reversal of 806687060 is 60786608.

It can be written as a sum of positive squares in 8 ways, for example, as 293573956 + 513113104 = 17134^2 + 22652^2 .

It is a junction number, because it is equal to n+sod(n) for n = 806686999 and 806687017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 136160 + ... + 141960.

It is an arithmetic number, because the mean of its divisors is an integer number (37466415).

Almost surely, 2806687060 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 806687060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (899193960).

806687060 is an abundant number, since it is smaller than the sum of its proper divisors (991700860).

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

806687060 is a wasteful number, since it uses less digits than its factorization.

806687060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6236 (or 6234 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 41.

The square root of 806687060 is about 28402.2368837386. The cubic root of 806687060 is about 930.8971417541.

The spelling of 806687060 in words is "eight hundred six million, six hundred eighty-seven thousand, sixty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 409 818 1636 2045 4090 5801 6953 8180 11602 13906 23204 27812 29005 34765 58010 69530 98617 116020 139060 197234 394468 493085 986170 1972340 2372609 4745218 9490436 11863045 23726090 40334353 47452180 80668706 161337412 201671765 403343530 806687060