Search a number
-
+
12734688 = 2531091217
BaseRepresentation
bin110000100101…
…000011100000
3212221222201010
4300211003200
511230002223
61132540520
7213146241
oct60450340
925858633
1012734688
11720883a
124321740
13283b525
141996cc8
1511b8393
hexc250e0

12734688 has 48 divisors (see below), whose sum is σ = 33762960. Its totient is φ = 4202496.

The previous prime is 12734677. The next prime is 12734713. The reversal of 12734688 is 88643721.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9856 + ... + 11072.

It is an arithmetic number, because the mean of its divisors is an integer number (703395).

Almost surely, 212734688 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 12734688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16881480).

12734688 is an abundant number, since it is smaller than the sum of its proper divisors (21028272).

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

12734688 is a wasteful number, since it uses less digits than its factorization.

12734688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1339 (or 1331 counting only the distinct ones).

The product of its digits is 64512, while the sum is 39.

The square root of 12734688 is about 3568.5694612828. The cubic root of 12734688 is about 233.5228790895.

The spelling of 12734688 in words is "twelve million, seven hundred thirty-four thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 109 218 327 436 654 872 1217 1308 1744 2434 2616 3488 3651 4868 5232 7302 9736 10464 14604 19472 29208 38944 58416 116832 132653 265306 397959 530612 795918 1061224 1591836 2122448 3183672 4244896 6367344 12734688