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203104 = 2511577
BaseRepresentation
bin110001100101100000
3101022121101
4301211200
522444404
64204144
71504066
oct614540
9338541
10203104
11129660
1299654
13715a5
1454036
15402a4
hex31960

203104 has 24 divisors (see below), whose sum is σ = 436968. Its totient is φ = 92160.

The previous prime is 203057. The next prime is 203117. The reversal of 203104 is 401302.

It is a nialpdrome in base 12.

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, 64 + ... + 640.

It is an arithmetic number, because the mean of its divisors is an integer number (18207).

2203104 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 203104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218484).

203104 is an abundant number, since it is smaller than the sum of its proper divisors (233864).

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

203104 is a wasteful number, since it uses less digits than its factorization.

203104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 598 (or 590 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 203104 is about 450.6706114226. The cubic root of 203104 is about 58.7813413579.

Adding to 203104 its reverse (401302), we get a palindrome (604406).

It can be divided in two parts, 203 and 104, that multiplied together give a palindrome (21112).

The spelling of 203104 in words is "two hundred three thousand, one hundred four", and thus it is an iban number.

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 577 1154 2308 4616 6347 9232 12694 18464 25388 50776 101552 203104