Base | Representation |
---|---|
bin | 11000001110001… |
… | …11111001010000 |
3 | 112011100022200100 |
4 | 30013013321100 |
5 | 404004201221 |
6 | 32055052400 |
7 | 5015056101 |
oct | 1407077120 |
9 | 464308610 |
10 | 203193936 |
11 | a4774680 |
12 | 58071100 |
13 | 33134cca |
14 | 1cdb43a8 |
15 | 12c8a926 |
hex | c1c7e50 |
203193936 has 120 divisors (see below), whose sum is σ = 637307424. Its totient is φ = 59892480.
The previous prime is 203193931. The next prime is 203193959. The reversal of 203193936 is 639391302.
It is a happy number.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a self number, because there is not a number n which added to its sum of digits gives 203193936.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (203193931) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56875 + ... + 60341.
Almost surely, 2203193936 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 203193936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318653712).
203193936 is an abundant number, since it is smaller than the sum of its proper divisors (434113488).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
203193936 is a wasteful number, since it uses less digits than its factorization.
203193936 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3529 (or 3520 counting only the distinct ones).
The product of its (nonzero) digits is 26244, while the sum is 36.
The square root of 203193936 is about 14254.6110434484. The cubic root of 203193936 is about 587.9001635301.
The spelling of 203193936 in words is "two hundred three million, one hundred ninety-three thousand, nine hundred thirty-six".
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