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203055104 = 21373541
BaseRepresentation
bin11000001101001…
…10000000000000
3112011002021020102
430012212000000
5403440230404
632052101532
75013640250
oct1406460000
9464067212
10203055104
11a468a33a
12580048a8
13330b6a65
141cd79960
1512c5e71e
hexc1a6000

203055104 has 56 divisors (see below), whose sum is σ = 464228688. Its totient is φ = 86999040.

The previous prime is 203055059. The next prime is 203055163. The reversal of 203055104 is 401550302.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 55574 + ... + 59114.

It is an arithmetic number, because the mean of its divisors is an integer number (8289798).

Almost surely, 2203055104 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 203055104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232114344).

203055104 is an abundant number, since it is smaller than the sum of its proper divisors (261173584).

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

203055104 is an frugal number, since it uses more digits than its factorization.

203055104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3574 (or 3550 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 203055104 is about 14249.7404888651. The cubic root of 203055104 is about 587.7662390096.

The spelling of 203055104 in words is "two hundred three million, fifty-five thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 512 896 1024 1792 2048 3541 3584 4096 7082 7168 8192 14164 14336 24787 28328 28672 49574 56656 57344 99148 113312 198296 226624 396592 453248 793184 906496 1586368 1812992 3172736 3625984 6345472 7251968 12690944 14503936 25381888 29007872 50763776 101527552 203055104