Search a number
-
+
1144032 = 25317701
BaseRepresentation
bin100010111010011100000
32011010022120
410113103200
5243102112
640304240
712503241
oct4272340
92133276
101144032
1171158a
12472080
13310956
1421acc8
15178e8c
hex1174e0

1144032 has 48 divisors (see below), whose sum is σ = 3184272. Its totient is φ = 358400.

The previous prime is 1144019. The next prime is 1144037. The reversal of 1144032 is 2304411.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1144037) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1282 + ... + 1982.

It is an arithmetic number, because the mean of its divisors is an integer number (66339).

21144032 is an apocalyptic number.

1144032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1144032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1592136).

1144032 is an abundant number, since it is smaller than the sum of its proper divisors (2040240).

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

1144032 is a wasteful number, since it uses less digits than its factorization.

1144032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 731 (or 723 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 1144032 is about 1069.5943156169. The cubic root of 1144032 is about 104.5874057909.

Adding to 1144032 its reverse (2304411), we get a palindrome (3448443).

The spelling of 1144032 in words is "one million, one hundred forty-four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 408 544 701 816 1402 1632 2103 2804 4206 5608 8412 11216 11917 16824 22432 23834 33648 35751 47668 67296 71502 95336 143004 190672 286008 381344 572016 1144032