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2003320 = 2351129157
BaseRepresentation
bin111101001000101111000
310202210001001
413221011320
51003101240
6110534344
723012404
oct7510570
93683031
102003320
111149140
128073b4
13551ac7
143a2104
1529889a
hex1e9178

2003320 has 64 divisors (see below), whose sum is σ = 5119200. Its totient is φ = 698880.

The previous prime is 2003299. The next prime is 2003321. The reversal of 2003320 is 233002.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 2003297 and 2003306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2003321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12682 + ... + 12838.

22003320 is an apocalyptic number.

2003320 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 2003320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2559600).

2003320 is an abundant number, since it is smaller than the sum of its proper divisors (3115880).

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

2003320 is a wasteful number, since it uses less digits than its factorization.

2003320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 10.

The square root of 2003320 is about 1415.3868729079. The cubic root of 2003320 is about 126.0617820805.

Adding to 2003320 its reverse (233002), we get a palindrome (2236322).

The spelling of 2003320 in words is "two million, three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 29 40 44 55 58 88 110 116 145 157 220 232 290 314 319 440 580 628 638 785 1160 1256 1276 1570 1595 1727 2552 3140 3190 3454 4553 6280 6380 6908 8635 9106 12760 13816 17270 18212 22765 34540 36424 45530 50083 69080 91060 100166 182120 200332 250415 400664 500830 1001660 2003320