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1144064 = 2841109
BaseRepresentation
bin100010111010100000000
32011010100202
410113110000
5243102224
640304332
712503315
oct4272400
92133322
101144064
11711609
124720a8
1331097c
1421ad0c
15178eae
hex117500

1144064 has 36 divisors (see below), whose sum is σ = 2360820. Its totient is φ = 552960.

The previous prime is 1144061. The next prime is 1144081. The reversal of 1144064 is 4604411.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 369664 + 774400 = 608^2 + 880^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1144061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10442 + ... + 10550.

21144064 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 1144064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1180410).

1144064 is an abundant number, since it is smaller than the sum of its proper divisors (1216756).

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

1144064 is an equidigital number, since it uses as much as digits as its factorization.

1144064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 1144064 is about 1069.6092744549. The cubic root of 1144064 is about 104.5883809285.

Adding to 1144064 its reverse (4604411), we get a palindrome (5748475).

The spelling of 1144064 in words is "one million, one hundred forty-four thousand, sixty-four".

Divisors: 1 2 4 8 16 32 41 64 82 109 128 164 218 256 328 436 656 872 1312 1744 2624 3488 4469 5248 6976 8938 10496 13952 17876 27904 35752 71504 143008 286016 572032 1144064