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2003205340 = 2251926919597
BaseRepresentation
bin111011101100110…
…0111110011011100
312011121101101010101
41313121213303130
513100310032330
6530435350444
7100432651543
oct16731476334
95147341111
102003205340
11938836904
1247aa52424
1325c02a306
1415009115a
15bace74ca
hex77667cdc

2003205340 has 48 divisors (see below), whose sum is σ = 4444826400. Its totient is φ = 756248832.

The previous prime is 2003205313. The next prime is 2003205343. The reversal of 2003205340 is 435023002.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2003205343) 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, 92422 + ... + 112018.

It is an arithmetic number, because the mean of its divisors is an integer number (92600550).

Almost surely, 22003205340 is an apocalyptic number.

2003205340 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 2003205340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2222413200).

2003205340 is an abundant number, since it is smaller than the sum of its proper divisors (2441621060).

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

2003205340 is a wasteful number, since it uses less digits than its factorization.

2003205340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19894 (or 19892 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 19.

The square root of 2003205340 is about 44757.1819935080. The cubic root of 2003205340 is about 1260.5937698631.

Adding to 2003205340 its reverse (435023002), we get a palindrome (2438228342).

The spelling of 2003205340 in words is "two billion, three million, two hundred five thousand, three hundred forty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 269 380 538 1076 1345 2690 5111 5380 10222 19597 20444 25555 39194 51110 78388 97985 102220 195970 372343 391940 744686 1489372 1861715 3723430 5271593 7446860 10543186 21086372 26357965 52715930 100160267 105431860 200320534 400641068 500801335 1001602670 2003205340