Search a number
-
+
1311232 = 2913197
BaseRepresentation
bin101000000001000000000
32110121200011
411000020000
5313424412
644034304
714100556
oct5001000
92417604
101311232
1181616a
12532994
1336baa0
14261bd6
151ad7a7
hex140200

1311232 has 40 divisors (see below), whose sum is σ = 2835756. Its totient is φ = 602112.

The previous prime is 1311229. The next prime is 1311239. The reversal of 1311232 is 2321131.

It can be written as a sum of positive squares in 2 ways, for example, as 1290496 + 20736 = 1136^2 + 144^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (1311239) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6558 + ... + 6754.

21311232 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 1311232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1417878).

1311232 is an abundant number, since it is smaller than the sum of its proper divisors (1524524).

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

1311232 is an equidigital number, since it uses as much as digits as its factorization.

1311232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 212 counting only the distinct ones).

The product of its digits is 36, while the sum is 13.

The square root of 1311232 is about 1145.0903894453. The cubic root of 1311232 is about 109.4527085318.

Adding to 1311232 its reverse (2321131), we get a palindrome (3632363).

The spelling of 1311232 in words is "one million, three hundred eleven thousand, two hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 197 208 256 394 416 512 788 832 1576 1664 2561 3152 3328 5122 6304 6656 10244 12608 20488 25216 40976 50432 81952 100864 163904 327808 655616 1311232