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705606516 = 223219600181
BaseRepresentation
bin101010000011101…
…011001101110100
31211011201112011200
4222003223031310
52421113402031
6154003332500
723325361566
oct5203531564
91734645150
10705606516
1133232968a
12178381130
13b3253264
14699d7336
1541e2d8e6
hex2a0eb374

705606516 has 18 divisors (see below), whose sum is σ = 1783616562. Its totient is φ = 235202160.

The previous prime is 705606509. The next prime is 705606521. The reversal of 705606516 is 615606507.

It is a happy number.

705606516 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 only one way, i.e., 370716516 + 334890000 = 19254^2 + 18300^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 19600181 = 705606516 / (7 + 0 + 5 + 6 + 0 + 6 + 5 + 1 + 6).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9800055 + ... + 9800126.

It is an arithmetic number, because the mean of its divisors is an integer number (99089809).

Almost surely, 2705606516 is an apocalyptic number.

It is an amenable number.

705606516 is an abundant number, since it is smaller than the sum of its proper divisors (1078010046).

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

705606516 is a wasteful number, since it uses less digits than its factorization.

705606516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19600191 (or 19600186 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 705606516 is about 26563.2549963290. The cubic root of 705606516 is about 890.2682001112.

Subtracting from 705606516 its reverse (615606507), we obtain a palindrome (90000009).

The spelling of 705606516 in words is "seven hundred five million, six hundred six thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 19600181 39200362 58800543 78400724 117601086 176401629 235202172 352803258 705606516