Search a number
-
+
12789632 = 27163613
BaseRepresentation
bin110000110010…
…011110000000
3220001210002002
4300302132000
511233232012
61134043132
7213465362
oct60623600
926053062
1012789632
117246049
1243494a8
13285a53b
1419acd32
1511c97c2
hexc32780

12789632 has 32 divisors (see below), whose sum is σ = 25677480. Its totient is φ = 6345216.

The previous prime is 12789631. The next prime is 12789649. The reversal of 12789632 is 23698721.

It is a tau number, because it is divible by the number of its divisors (32).

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12789631) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 20558 + ... + 21170.

Almost surely, 212789632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12789632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12838740).

12789632 is an abundant number, since it is smaller than the sum of its proper divisors (12887848).

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

12789632 is an equidigital number, since it uses as much as digits as its factorization.

12789632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 790 (or 778 counting only the distinct ones).

The product of its digits is 36288, while the sum is 38.

The square root of 12789632 is about 3576.2594984145. The cubic root of 12789632 is about 233.8582432133.

The spelling of 12789632 in words is "twelve million, seven hundred eighty-nine thousand, six hundred thirty-two".

Divisors: 1 2 4 8 16 32 64 128 163 326 613 652 1226 1304 2452 2608 4904 5216 9808 10432 19616 20864 39232 78464 99919 199838 399676 799352 1598704 3197408 6394816 12789632