Search a number
-
+
12180688 = 2413157373
BaseRepresentation
bin101110011101…
…110011010000
3211220211202121
4232131303100
511104240223
61113024024
7205351132
oct56356320
924824677
1012180688
11696a593
1240b5014
1326a6310
141891052
15110915d
hexb9dcd0

12180688 has 40 divisors (see below), whose sum is σ = 25645928. Its totient is φ = 5571072.

The previous prime is 12180683. The next prime is 12180703. The reversal of 12180688 is 88608121.

It can be written as a sum of positive squares in 4 ways, for example, as 153664 + 12027024 = 392^2 + 3468^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12180683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32470 + ... + 32842.

Almost surely, 212180688 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 12180688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12822964).

12180688 is an abundant number, since it is smaller than the sum of its proper divisors (13465240).

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

12180688 is a wasteful number, since it uses less digits than its factorization.

12180688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 34.

The square root of 12180688 is about 3490.0842396710. The cubic root of 12180688 is about 230.0862184635.

The spelling of 12180688 in words is "twelve million, one hundred eighty thousand, six hundred eighty-eight".

Divisors: 1 2 4 8 13 16 26 52 104 157 208 314 373 628 746 1256 1492 2041 2512 2984 4082 4849 5968 8164 9698 16328 19396 32656 38792 58561 77584 117122 234244 468488 761293 936976 1522586 3045172 6090344 12180688