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12889764 = 2232379677
BaseRepresentation
bin110001001010…
…111010100100
3220020212102200
4301022322210
511244433024
61140134500
7214363326
oct61127244
926225380
1012889764
1173042a8
124397430
132893ca4
1419d7616
1511e92c9
hexc4aea4

12889764 has 36 divisors (see below), whose sum is σ = 33466524. Its totient is φ = 4180032.

The previous prime is 12889691. The next prime is 12889777. The reversal of 12889764 is 46798821.

It can be written as a sum of positive squares in 2 ways, for example, as 10304100 + 2585664 = 3210^2 + 1608^2 .

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

It is a super-2 number, since 2×128897642 = 332292031951392, which contains 22 as substring.

It is an unprimeable number.

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, 3507 + ... + 6170.

Almost surely, 212889764 is an apocalyptic number.

It is an amenable number.

12889764 is an abundant number, since it is smaller than the sum of its proper divisors (20576760).

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

12889764 is a wasteful number, since it uses less digits than its factorization.

12889764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9724 (or 9719 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The square root of 12889764 is about 3590.2317473946. The cubic root of 12889764 is about 234.4669614591.

The spelling of 12889764 in words is "twelve million, eight hundred eighty-nine thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1332 9677 19354 29031 38708 58062 87093 116124 174186 348372 358049 716098 1074147 1432196 2148294 3222441 4296588 6444882 12889764