Search a number
-
+
12831144 = 233534631
BaseRepresentation
bin110000111100…
…100110101000
3220010220000120
4300330212220
511241044034
61135003240
7214030404
oct60744650
926126016
1012831144
117274257
124369520
1328733c1
1419c0104
1511d6c49
hexc3c9a8

12831144 has 16 divisors (see below), whose sum is σ = 32077920. Its totient is φ = 4277040.

The previous prime is 12831131. The next prime is 12831149. The reversal of 12831144 is 44113821.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 534631 = 12831144 / (1 + 2 + 8 + 3 + 1 + 1 + 4 + 4).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (12831149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 267292 + ... + 267339.

It is an arithmetic number, because the mean of its divisors is an integer number (2004870).

Almost surely, 212831144 is an apocalyptic number.

It is an amenable number.

12831144 is an abundant number, since it is smaller than the sum of its proper divisors (19246776).

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

12831144 is a wasteful number, since it uses less digits than its factorization.

12831144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534640 (or 534636 counting only the distinct ones).

The product of its digits is 768, while the sum is 24.

The square root of 12831144 is about 3582.0586259859. The cubic root of 12831144 is about 234.1109854114.

Adding to 12831144 its reverse (44113821), we get a palindrome (56944965).

The spelling of 12831144 in words is "twelve million, eight hundred thirty-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 534631 1069262 1603893 2138524 3207786 4277048 6415572 12831144