204800 has 42 divisors (see below), whose sum is σ = 507873. Its totient is φ = 81920.

The previous prime is 204797. The next prime is 204803. The reversal of 204800 is 8402.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (204797) and next prime (204803).

It can be written as a sum of positive squares in 2 ways, for example, as 200704 + 4096 = 448^2 + 64^2 .

It is an ABA number since it can be written as A⋅B^{A}, here for A=2, B=320.

It is a Duffinian number.

It is a nialpdrome in base 8 and base 16.

It is not an unprimeable number, because it can be changed into a prime (204803) by changing a digit.

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, 40958 + ... + 40962.

204800 is a Friedman number, since it can be written as 80^4/200, using all its digits and the basic arithmetic operations.

2^{204800} is an apocalyptic number.

204800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204800

204800 is an abundant number, since it is smaller than the sum of its proper divisors (303073).

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

204800 is an frugal number, since it uses more digits than its factorization.

204800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36 (or 7 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 204800 is about 452.5483399594. The cubic root of 204800 is about 58.9445039782.

The spelling of 204800 in words is "two hundred four thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 256 320 400 512 640 800 1024 1280 1600 2048 2560 3200 4096 5120 6400 8192 10240 12800 20480 25600 40960 51200 102400 204800

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