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706002066 = 2327112322147
BaseRepresentation
bin101010000101001…
…011110010010010
31211012110121202200
4222011023302102
52421214031231
6154020024030
723331630030
oct5205136222
91735417680
10706002066
11332579890
12178532016
13b3361303
1469a9b550
1541eaabe6
hex2a14bc92

706002066 has 96 divisors (see below), whose sum is σ = 1990130688. Its totient is φ = 175396320.

The previous prime is 706002049. The next prime is 706002097. The reversal of 706002066 is 660200607.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 20805 + ... + 42951.

It is an arithmetic number, because the mean of its divisors is an integer number (20730528).

Almost surely, 2706002066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 706002066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (995065344).

706002066 is an abundant number, since it is smaller than the sum of its proper divisors (1284128622).

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

706002066 is a wasteful number, since it uses less digits than its factorization.

706002066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22196 (or 22193 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 706002066 is about 26570.6993886123. The cubic root of 706002066 is about 890.4345250137.

The spelling of 706002066 in words is "seven hundred six million, two thousand, sixty-six".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 23 33 42 46 63 66 69 77 99 126 138 154 161 198 207 231 253 322 414 462 483 506 693 759 966 1386 1449 1518 1771 2277 2898 3542 4554 5313 10626 15939 22147 31878 44294 66441 132882 155029 199323 243617 310058 398646 465087 487234 509381 730851 930174 1018762 1395261 1461702 1528143 1705319 2192553 2790522 3056286 3410638 3565667 4385106 4584429 5115957 5603191 7131334 9168858 10231914 10697001 11206382 15347871 16809573 21394002 30695742 32091003 33619146 39222337 50428719 64182006 78444674 100857438 117667011 235334022 353001033 706002066