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12006033 = 313833709
BaseRepresentation
bin101101110011…
…001010010001
3211120222011220
4231303022101
511033143113
61105155253
7204023004
oct55631221
924528156
1012006033
116860346
12402bb29
132644980
14184753b
1510c2523
hexb73291

12006033 has 16 divisors (see below), whose sum is σ = 17451840. Its totient is φ = 7297344.

The previous prime is 12006031. The next prime is 12006041. The reversal of 12006033 is 33060021.

12006033 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12006033 - 21 = 12006031 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12006031) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1383 + ... + 5091.

It is an arithmetic number, because the mean of its divisors is an integer number (1090740).

Almost surely, 212006033 is an apocalyptic number.

12006033 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

12006033 is a deficient number, since it is larger than the sum of its proper divisors (5445807).

12006033 is a wasteful number, since it uses less digits than its factorization.

12006033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3808.

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 12006033 is about 3464.9722942615. The cubic root of 12006033 is about 228.9812090885.

Adding to 12006033 its reverse (33060021), we get a palindrome (45066054).

The spelling of 12006033 in words is "twelve million, six thousand, thirty-three".

Divisors: 1 3 13 39 83 249 1079 3237 3709 11127 48217 144651 307847 923541 4002011 12006033