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12005903 = 713131933
BaseRepresentation
bin101101110011…
…001000001111
3211120222000002
4231303020033
511033142103
61105154515
7204022430
oct55631017
924528002
1012005903
116860238
12402ba3b
1326448b0
141847487
1510c2488
hexb7320f

12005903 has 8 divisors (see below), whose sum is σ = 14776608. Its totient is φ = 9499104.

The previous prime is 12005881. The next prime is 12005909. The reversal of 12005903 is 30950021.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 12005903 - 210 = 12004879 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12005909) 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 7 ways as a sum of consecutive naturals, for example, 65876 + ... + 66057.

It is an arithmetic number, because the mean of its divisors is an integer number (1847076).

Almost surely, 212005903 is an apocalyptic number.

12005903 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

12005903 is a deficient number, since it is larger than the sum of its proper divisors (2770705).

12005903 is a wasteful number, since it uses less digits than its factorization.

12005903 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131953.

The product of its (nonzero) digits is 270, while the sum is 20.

The square root of 12005903 is about 3464.9535350420. The cubic root of 12005903 is about 228.9803826244.

Adding to 12005903 its reverse (30950021), we get a palindrome (42955924).

The spelling of 12005903 in words is "twelve million, five thousand, nine hundred three".

Divisors: 1 7 13 91 131933 923531 1715129 12005903