Base | Representation |
---|---|
bin | 11000001101100… |
… | …10001110001000 |
3 | 112011011210220100 |
4 | 30012302032020 |
5 | 403443331120 |
6 | 32053125400 |
7 | 5014236216 |
oct | 1406621610 |
9 | 464153810 |
10 | 203105160 |
11 | a4713a05 |
12 | 58029860 |
13 | 3310378b |
14 | 1cd8dcb6 |
15 | 12c6e490 |
hex | c1b2388 |
203105160 has 96 divisors (see below), whose sum is σ = 663113880. Its totient is φ = 53913600.
The previous prime is 203105159. The next prime is 203105167. The reversal of 203105160 is 61501302.
It can be written as a sum of positive squares in 4 ways, for example, as 190274436 + 12830724 = 13794^2 + 3582^2 .
It is a Harshad number since it is a multiple of its sum of digits (18).
It is not an unprimeable number, because it can be changed into a prime (203105167) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 85590 + ... + 87930.
Almost surely, 2203105160 is an apocalyptic number.
203105160 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 203105160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331556940).
203105160 is an abundant number, since it is smaller than the sum of its proper divisors (460008720).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
203105160 is a wasteful number, since it uses less digits than its factorization.
203105160 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2599 (or 2592 counting only the distinct ones).
The product of its (nonzero) digits is 180, while the sum is 18.
The square root of 203105160 is about 14251.4967634982. The cubic root of 203105160 is about 587.8145326485.
Adding to 203105160 its reverse (61501302), we get a palindrome (264606462).
The spelling of 203105160 in words is "two hundred three million, one hundred five thousand, one hundred sixty".
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