Search a number
-
+
706739166 = 232728119961
BaseRepresentation
bin101010000111111…
…111101111011110
31211020212001212200
4222013333233132
52421411123131
6154043512330
723341120020
oct5207775736
91736761780
10706739166
11332a32661
121788286a6
13b355b973
1469c10010
15420a42e6
hex2a1ffbde

706739166 has 48 divisors (see below), whose sum is σ = 1756336608. Its totient is φ = 201196800.

The previous prime is 706739119. The next prime is 706739167. The reversal of 706739166 is 661937607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (706739167) 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, 25426 + ... + 45386.

It is an arithmetic number, because the mean of its divisors is an integer number (36590346).

Almost surely, 2706739166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 706739166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (878168304).

706739166 is an abundant number, since it is smaller than the sum of its proper divisors (1049597442).

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

706739166 is a wasteful number, since it uses less digits than its factorization.

706739166 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20257 (or 20254 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 45.

The square root of 706739166 is about 26584.5663120541. The cubic root of 706739166 is about 890.7443026738.

The spelling of 706739166 in words is "seven hundred six million, seven hundred thirty-nine thousand, one hundred sixty-six".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 281 562 843 1686 1967 2529 3934 5058 5901 11802 17703 19961 35406 39922 59883 119766 139727 179649 279454 359298 419181 838362 1257543 2515086 5609041 11218082 16827123 33654246 39263287 50481369 78526574 100962738 117789861 235579722 353369583 706739166