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12005028 = 2232747639
BaseRepresentation
bin101101110010…
…111010100100
3211120220210200
4231302322210
511033130103
61105150500
7204020040
oct55627244
924526720
1012005028
11685a612
12402b430
132644389
141847020
1510c20a3
hexb72ea4

12005028 has 36 divisors (see below), whose sum is σ = 34681920. Its totient is φ = 3429936.

The previous prime is 12005023. The next prime is 12005047. The reversal of 12005028 is 82050021.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 12005028.

It is not an unprimeable number, because it can be changed into a prime (12005023) 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 11 ways as a sum of consecutive naturals, for example, 23568 + ... + 24071.

Almost surely, 212005028 is an apocalyptic number.

12005028 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12005028 is an abundant number, since it is smaller than the sum of its proper divisors (22676892).

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

12005028 is a wasteful number, since it uses less digits than its factorization.

12005028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47656 (or 47651 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 12005028 is about 3464.8272684219. The cubic root of 12005028 is about 228.9748197303.

Adding to 12005028 its reverse (82050021), we get a palindrome (94055049).

The spelling of 12005028 in words is "twelve million, five thousand, twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 47639 95278 142917 190556 285834 333473 428751 571668 666946 857502 1000419 1333892 1715004 2000838 3001257 4001676 6002514 12005028