Search a number
-
+
1144008 = 233215889
BaseRepresentation
bin100010111010011001000
32011010021200
410113103020
5243102013
640304200
712503205
oct4272310
92133250
101144008
11711568
12472060
13310938
1421acac
15178e73
hex1174c8

1144008 has 24 divisors (see below), whose sum is σ = 3098550. Its totient is φ = 381312.

The previous prime is 1144007. The next prime is 1144019. The reversal of 1144008 is 8004411.

It can be written as a sum of positive squares in only one way, i.e., 1077444 + 66564 = 1038^2 + 258^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1144001) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7873 + ... + 8016.

21144008 is an apocalyptic number.

1144008 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1144008 is an abundant number, since it is smaller than the sum of its proper divisors (1954542).

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

1144008 is a wasteful number, since it uses less digits than its factorization.

1144008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15901 (or 15894 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 1144008 is about 1069.5830963511. The cubic root of 1144008 is about 104.5866744258.

Adding to 1144008 its reverse (8004411), we get a palindrome (9148419).

The spelling of 1144008 in words is "one million, one hundred forty-four thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 15889 31778 47667 63556 95334 127112 143001 190668 286002 381336 572004 1144008