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12005994 = 23711131999
BaseRepresentation
bin101101110011…
…001001101010
3211120222010110
4231303021222
511033142434
61105155150
7204022620
oct55631152
924528113
1012005994
116860310
12402bab6
132644950
141847510
1510c24e9
hexb7326a

12005994 has 64 divisors (see below), whose sum is σ = 32256000. Its totient is φ = 2877120.

The previous prime is 12005963. The next prime is 12006017. The reversal of 12005994 is 49950021.

It is a happy number.

12005994 is a modest number, since divided by 5994 gives 12 as remainder.

It is a Curzon number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 5007 + ... + 7005.

It is an arithmetic number, because the mean of its divisors is an integer number (504000).

Almost surely, 212005994 is an apocalyptic number.

12005994 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12005994, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16128000).

12005994 is an abundant number, since it is smaller than the sum of its proper divisors (20250006).

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

12005994 is a wasteful number, since it uses less digits than its factorization.

12005994 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2035.

The product of its (nonzero) digits is 3240, while the sum is 30.

The square root of 12005994 is about 3464.9666665063. The cubic root of 12005994 is about 228.9809611499.

The spelling of 12005994 in words is "twelve million, five thousand, nine hundred ninety-four".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 39 42 66 77 78 91 143 154 182 231 273 286 429 462 546 858 1001 1999 2002 3003 3998 5997 6006 11994 13993 21989 25987 27986 41979 43978 51974 65967 77961 83958 131934 153923 155922 181909 285857 307846 363818 461769 545727 571714 857571 923538 1091454 1715142 2000999 4001998 6002997 12005994