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2003940560 = 245120120857
BaseRepresentation
bin111011101110001…
…1011010011010000
312011122202201122202
41313130123103100
513101002044220
6530503222332
7100442133206
oct16734332320
95148681582
102003940560
11939199226
1247b1479a8
1325c226b5b
14150203076
15bade0275
hex7771b4d0

2003940560 has 40 divisors (see below), whose sum is σ = 4663264776. Its totient is φ = 800870400.

The previous prime is 2003940553. The next prime is 2003940563. The reversal of 2003940560 is 650493002.

It can be written as a sum of positive squares in 4 ways, for example, as 138391696 + 1865548864 = 11764^2 + 43192^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×20039405602 = 8031555536026227200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2003940563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 85652 + ... + 106508.

Almost surely, 22003940560 is an apocalyptic number.

2003940560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2003940560 is an abundant number, since it is smaller than the sum of its proper divisors (2659324216).

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

2003940560 is a wasteful number, since it uses less digits than its factorization.

2003940560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22071 (or 22065 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 29.

The square root of 2003940560 is about 44765.3946704371. The cubic root of 2003940560 is about 1260.7479727913.

The spelling of 2003940560 in words is "two billion, three million, nine hundred forty thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1201 2402 4804 6005 9608 12010 19216 20857 24020 41714 48040 83428 96080 104285 166856 208570 333712 417140 834280 1668560 25049257 50098514 100197028 125246285 200394056 250492570 400788112 500985140 1001970280 2003940560