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12008381 = 721122279
BaseRepresentation
bin101101110011…
…101110111101
3211121002101212
4231303232331
511033232011
61105214205
7204032600
oct55635675
924532355
1012008381
116862090
124031365
132645a68
141848337
1510c308b
hexb73bbd

12008381 has 12 divisors (see below), whose sum is σ = 15239520. Its totient is φ = 9356760.

The previous prime is 12008371. The next prime is 12008411. The reversal of 12008381 is 18380021.

It is not a de Polignac number, because 12008381 - 214 = 11991997 is a prime.

It is a super-2 number, since 2×120083812 = 288402428482322, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12008351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10601 + ... + 11678.

It is an arithmetic number, because the mean of its divisors is an integer number (1269960).

Almost surely, 212008381 is an apocalyptic number.

12008381 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12008381 is a deficient number, since it is larger than the sum of its proper divisors (3231139).

12008381 is a wasteful number, since it uses less digits than its factorization.

12008381 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22304 (or 22297 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 23.

The square root of 12008381 is about 3465.3110971455. The cubic root of 12008381 is about 228.9961352742.

The spelling of 12008381 in words is "twelve million, eight thousand, three hundred eighty-one".

Divisors: 1 7 11 49 77 539 22279 155953 245069 1091671 1715483 12008381