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706870656 = 27323111973
BaseRepresentation
bin101010001000011…
…111110110000000
31211021002202020200
4222020133312000
52421424330111
6154050405200
723342205252
oct5210376600
91737082220
10706870656
11333012428
12178890800
13b35a677b
1469c45cd2
15420cd256
hex2a21fd80

706870656 has 96 divisors (see below), whose sum is σ = 2041668720. Its totient is φ = 234746880.

The previous prime is 706870651. The next prime is 706870657. The reversal of 706870656 is 656078607.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×7068706562 = 999332248627740672, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (706870651) 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 11 ways as a sum of consecutive naturals, for example, 357286 + ... + 359258.

Almost surely, 2706870656 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 706870656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1020834360).

706870656 is an abundant number, since it is smaller than the sum of its proper divisors (1334798064).

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

706870656 is a wasteful number, since it uses less digits than its factorization.

706870656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2304 (or 2289 counting only the distinct ones).

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

The square root of 706870656 is about 26587.0392484759. The cubic root of 706870656 is about 890.7995407357.

The spelling of 706870656 in words is "seven hundred six million, eight hundred seventy thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 311 384 576 622 933 1152 1244 1866 1973 2488 2799 3732 3946 4976 5598 5919 7464 7892 9952 11196 11838 14928 15784 17757 19904 22392 23676 29856 31568 35514 39808 44784 47352 59712 63136 71028 89568 94704 119424 126272 142056 179136 189408 252544 284112 358272 378816 568224 613603 757632 1136448 1227206 1840809 2272896 2454412 3681618 4908824 5522427 7363236 9817648 11044854 14726472 19635296 22089708 29452944 39270592 44179416 58905888 78541184 88358832 117811776 176717664 235623552 353435328 706870656