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12005025 = 352592713
BaseRepresentation
bin101101110010…
…111010100001
3211120220210120
4231302322201
511033130100
61105150453
7204020034
oct55627241
924526716
1012005025
11685a60a
12402b429
132644386
14184701b
1510c20a0
hexb72ea1

12005025 has 24 divisors (see below), whose sum is σ = 20192160. Its totient is φ = 6291840.

The previous prime is 12005023. The next prime is 12005047. The reversal of 12005025 is 52050021.

It is not a de Polignac number, because 12005025 - 21 = 12005023 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a junction number, because it is equal to n+sod(n) for n = 12004995 and 12005013.

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 23 ways as a sum of consecutive naturals, for example, 3069 + ... + 5781.

It is an arithmetic number, because the mean of its divisors is an integer number (841340).

Almost surely, 212005025 is an apocalyptic number.

12005025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12005025 is a deficient number, since it is larger than the sum of its proper divisors (8187135).

12005025 is a wasteful number, since it uses less digits than its factorization.

12005025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2785 (or 2780 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 15.

The square root of 12005025 is about 3464.8268354999. The cubic root of 12005025 is about 228.9748006570.

Adding to 12005025 its reverse (52050021), we get a palindrome (64055046).

The spelling of 12005025 in words is "twelve million, five thousand, twenty-five".

Divisors: 1 3 5 15 25 59 75 177 295 885 1475 2713 4425 8139 13565 40695 67825 160067 203475 480201 800335 2401005 4001675 12005025