Search a number
-
+
2003280 = 243517491
BaseRepresentation
bin111101001000101010000
310202202222120
413221011100
51003101110
6110534240
723012316
oct7510520
93682876
102003280
111149104
12807380
13551a96
143a20b6
15298870
hex1e9150

2003280 has 80 divisors (see below), whose sum is σ = 6588864. Its totient is φ = 501760.

The previous prime is 2003279. The next prime is 2003299. The reversal of 2003280 is 823002.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3835 + ... + 4325.

22003280 is an apocalyptic number.

2003280 is a gapful number since it is divisible by the number (20) 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 2003280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3294432).

2003280 is an abundant number, since it is smaller than the sum of its proper divisors (4585584).

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

2003280 is a wasteful number, since it uses less digits than its factorization.

2003280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524 (or 518 counting only the distinct ones).

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

The square root of 2003280 is about 1415.3727424251. The cubic root of 2003280 is about 126.0609430558.

Adding to 2003280 its reverse (823002), we get a palindrome (2826282).

The spelling of 2003280 in words is "two million, three thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 80 85 102 120 136 170 204 240 255 272 340 408 491 510 680 816 982 1020 1360 1473 1964 2040 2455 2946 3928 4080 4910 5892 7365 7856 8347 9820 11784 14730 16694 19640 23568 25041 29460 33388 39280 41735 50082 58920 66776 83470 100164 117840 125205 133552 166940 200328 250410 333880 400656 500820 667760 1001640 2003280