Search a number
-
+
2003144 = 23111317103
BaseRepresentation
bin111101001000011001000
310202202210112
413221003020
51003100034
6110533452
723012033
oct7510310
93682715
102003144
111148aa0
12807288
135519c0
143a201a
152987ce
hex1e90c8

2003144 has 64 divisors (see below), whose sum is σ = 4717440. Its totient is φ = 783360.

The previous prime is 2003119. The next prime is 2003149. The reversal of 2003144 is 4413002.

It is not an unprimeable number, because it can be changed into a prime (2003149) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19397 + ... + 19499.

It is an arithmetic number, because the mean of its divisors is an integer number (73710).

22003144 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 2003144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2358720).

2003144 is an abundant number, since it is smaller than the sum of its proper divisors (2714296).

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

2003144 is a wasteful number, since it uses less digits than its factorization.

2003144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 2003144 is about 1415.3246977284. The cubic root of 2003144 is about 126.0580902883.

Adding to 2003144 its reverse (4413002), we get a palindrome (6416146).

The spelling of 2003144 in words is "two million, three thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 13 17 22 26 34 44 52 68 88 103 104 136 143 187 206 221 286 374 412 442 572 748 824 884 1133 1144 1339 1496 1751 1768 2266 2431 2678 3502 4532 4862 5356 7004 9064 9724 10712 14008 14729 19261 19448 22763 29458 38522 45526 58916 77044 91052 117832 154088 182104 250393 500786 1001572 2003144