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803840 = 2105157
BaseRepresentation
bin11000100010000000000
31111211122212
43010100000
5201210330
625121252
76555362
oct3042000
91454585
10803840
114a9a34
12329228
13221b5b
1416cd32
1510d295
hexc4400

803840 has 44 divisors (see below), whose sum is σ = 1940556. Its totient is φ = 319488.

The previous prime is 803819. The next prime is 803849. The reversal of 803840 is 48308.

It can be written as a sum of positive squares in 2 ways, for example, as 262144 + 541696 = 512^2 + 736^2 .

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (803849) by changing a digit.

803840 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5042 + ... + 5198.

2803840 is an apocalyptic number.

803840 is a gapful number since it is divisible by the number (80) 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 803840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (970278).

803840 is an abundant number, since it is smaller than the sum of its proper divisors (1136716).

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

803840 is a wasteful number, since it uses less digits than its factorization.

803840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 803840 is about 896.5712464718. The cubic root of 803840 is about 92.9800704973.

The spelling of 803840 in words is "eight hundred three thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 157 160 256 314 320 512 628 640 785 1024 1256 1280 1570 2512 2560 3140 5024 5120 6280 10048 12560 20096 25120 40192 50240 80384 100480 160768 200960 401920 803840