Search a number
-
+
12128766 = 23131311187
BaseRepresentation
bin101110010001…
…000111111110
3211211012112120
4232101013332
511101110031
61111543410
7205043556
oct56210776
924735476
1012128766
116934581
12408ab66
1326887b0
14187a166
1510e8a96
hexb911fe

12128766 has 32 divisors (see below), whose sum is σ = 26345088. Its totient is φ = 3700320.

The previous prime is 12128741. The next prime is 12128777. The reversal of 12128766 is 66782121.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9625 + ... + 10811.

It is an arithmetic number, because the mean of its divisors is an integer number (823284).

Almost surely, 212128766 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12128766, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13172544).

12128766 is an abundant number, since it is smaller than the sum of its proper divisors (14216322).

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

12128766 is a wasteful number, since it uses less digits than its factorization.

12128766 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1336.

The product of its digits is 8064, while the sum is 33.

The square root of 12128766 is about 3482.6377933974. The cubic root of 12128766 is about 229.7588272253.

It can be divided in two parts, 12 and 128766, that added together give a triangular number (128778 = T507).

The spelling of 12128766 in words is "twelve million, one hundred twenty-eight thousand, seven hundred sixty-six".

Divisors: 1 2 3 6 13 26 39 78 131 262 393 786 1187 1703 2374 3406 3561 5109 7122 10218 15431 30862 46293 92586 155497 310994 466491 932982 2021461 4042922 6064383 12128766