Search a number
-
+
1164288 = 2103379
BaseRepresentation
bin100011100010000000000
32012011002210
410130100000
5244224123
640542120
712616266
oct4342000
92164083
101164288
11725824
12481940
13319c38
14224436
1517ee93
hex11c400

1164288 has 44 divisors (see below), whose sum is σ = 3111440. Its totient is φ = 387072.

The previous prime is 1164287. The next prime is 1164323. The reversal of 1164288 is 8824611.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

Its product of digits (3072) is a multiple of the sum of its prime divisors (384).

It is not an unprimeable number, because it can be changed into a prime (1164287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2883 + ... + 3261.

21164288 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 1164288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1555720).

1164288 is an abundant number, since it is smaller than the sum of its proper divisors (1947152).

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

1164288 is an equidigital number, since it uses as much as digits as its factorization.

1164288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 384 counting only the distinct ones).

The product of its digits is 3072, while the sum is 30.

The square root of 1164288 is about 1079.0217792056. The cubic root of 1164288 is about 105.2010659773.

Adding to 1164288 its reverse (8824611), we get a palindrome (9988899).

The spelling of 1164288 in words is "one million, one hundred sixty-four thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 379 384 512 758 768 1024 1137 1516 1536 2274 3032 3072 4548 6064 9096 12128 18192 24256 36384 48512 72768 97024 145536 194048 291072 388096 582144 1164288