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706850676 = 223272616569
BaseRepresentation
bin101010001000011…
…010111101110100
31211021001201211200
4222020122331310
52421423210201
6154050132500
723342063100
oct5210327564
91737051750
10706850676
11332aa9414
12178881130
13b359a64c
1469c3c900
15420c7386
hex2a21af74

706850676 has 108 divisors (see below), whose sum is σ = 2112872580. Its totient is φ = 198616320.

The previous prime is 706850647. The next prime is 706850681. The reversal of 706850676 is 676058607.

706850676 is a `hidden beast` number, since 70 + 6 + 8 + 506 + 76 = 666.

706850676 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 303804900 + 403045776 = 17430^2 + 20076^2 .

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 104320 + ... + 110888.

It is an arithmetic number, because the mean of its divisors is an integer number (19563635).

Almost surely, 2706850676 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 706850676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1056436290).

706850676 is an abundant number, since it is smaller than the sum of its proper divisors (1406021904).

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

706850676 is a wasteful number, since it uses less digits than its factorization.

706850676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6654 (or 6642 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 706850676 is about 26586.6634988296. The cubic root of 706850676 is about 890.7911477139.

The spelling of 706850676 in words is "seven hundred six million, eight hundred fifty thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 61 63 84 98 122 126 147 183 196 244 252 294 366 427 441 549 588 732 854 882 1098 1281 1708 1764 2196 2562 2989 3843 5124 5978 6569 7686 8967 11956 13138 15372 17934 19707 26276 26901 35868 39414 45983 53802 59121 78828 91966 107604 118242 137949 183932 236484 275898 321881 400709 413847 551796 643762 801418 827694 965643 1202127 1287524 1602836 1655388 1931286 2404254 2804963 2896929 3606381 3862572 4808508 5609926 5793858 7212762 8414889 11219852 11587716 14425524 16829778 19634741 25244667 33659556 39269482 50489334 58904223 78538964 100978668 117808446 176712669 235616892 353425338 706850676