200704 has 39 divisors (see below), whose sum is σ = 466887. Its totient is φ = 86016.

The previous prime is 200699. The next prime is 200713. The reversal of 200704 is 407002.

Multipling 200704 by its product of nonzero digits (56), we get a cube (11239424 = 224^{3}).

Adding to 200704 its reverse (407002), we get a palindrome (607706).

200704 = T_{447} + T_{448}.

The square root of 200704 is 448.

It is a perfect power (a square), and thus also a powerful number.

It is a super-3 number, since 3×200704^{3} = 24254333155540992, which contains 333 as substring.

It is a Duffinian number.

It is a nialpdrome in base 8, base 14 and base 16.

It is an unprimeable number.

200704 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 28669 + ... + 28675.

2^{200704} is an apocalyptic number.

200704 is the 448-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200704

200704 is an abundant number, since it is smaller than the sum of its proper divisors (266183).

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

200704 is an frugal number, since it uses more digits than its factorization.

200704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38 (or 9 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 13.

The cubic root of 200704 is about 58.5488913604.

The spelling of 200704 in words is "two hundred thousand, seven hundred four", and thus it is an iban number.

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 448 512 784 896 1024 1568 1792 2048 3136 3584 4096 6272 7168 12544 14336 25088 28672 50176 100352 200704

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