Search a number
-
+
706000660 = 225436311301
BaseRepresentation
bin101010000101001…
…011011100010100
31211012110112211121
4222011023130110
52421214010120
6154020013324
723331622651
oct5205133424
91735415747
10706000660
11332578822
12178531244
13b3360791
1469a9ac28
1541eaa5aa
hex2a14b714

706000660 has 48 divisors (see below), whose sum is σ = 1520652672. Its totient is φ = 275184000.

The previous prime is 706000657. The next prime is 706000661. The reversal of 706000660 is 66000607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (706000661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 542010 + ... + 543310.

It is an arithmetic number, because the mean of its divisors is an integer number (31680264).

Almost surely, 2706000660 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 706000660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (760326336).

706000660 is an abundant number, since it is smaller than the sum of its proper divisors (814652012).

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

706000660 is a wasteful number, since it uses less digits than its factorization.

706000660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1984 (or 1982 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 25.

The square root of 706000660 is about 26570.6729308838. The cubic root of 706000660 is about 890.4339339145.

The spelling of 706000660 in words is "seven hundred six million, six hundred sixty", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 43 86 172 215 430 631 860 1262 1301 2524 2602 3155 5204 6310 6505 12620 13010 26020 27133 54266 55943 108532 111886 135665 223772 271330 279715 542660 559430 820931 1118860 1641862 3283724 4104655 8209310 16418620 35300033 70600066 141200132 176500165 353000330 706000660