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12667733 = 132233259
BaseRepresentation
bin110000010100…
…101101010101
3212211120212022
4300110231111
511220331413
61131302525
7212450111
oct60245525
925746768
1012667733
117172501
1242aaa45
132816c00
14197a741
1511a3608
hexc14b55

12667733 has 12 divisors (see below), whose sum is σ = 14317920. Its totient is φ = 11181456.

The previous prime is 12667667. The next prime is 12667777. The reversal of 12667733 is 33776621.

It is a happy number.

It is not a de Polignac number, because 12667733 - 216 = 12602197 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12667693 and 12667702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12667783) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2258 + ... + 5516.

It is an arithmetic number, because the mean of its divisors is an integer number (1193160).

Almost surely, 212667733 is an apocalyptic number.

12667733 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

12667733 is a deficient number, since it is larger than the sum of its proper divisors (1650187).

12667733 is a wasteful number, since it uses less digits than its factorization.

12667733 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3308 (or 3295 counting only the distinct ones).

The product of its digits is 31752, while the sum is 35.

The square root of 12667733 is about 3559.1758877583. The cubic root of 12667733 is about 233.1128963473.

It can be divided in two parts, 126 and 67733, that multiplied together give a palindrome (8534358).

The spelling of 12667733 in words is "twelve million, six hundred sixty-seven thousand, seven hundred thirty-three".

Divisors: 1 13 23 169 299 3259 3887 42367 74957 550771 974441 12667733