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2000004040 = 23550000101
BaseRepresentation
bin111011100110101…
…1010001111001000
312011101100201202201
41313031122033020
513044000112130
6530243005544
7100363516366
oct16715321710
95141321681
102000004040
11936a4a701
124799698b4
1325b479158
1414d89a636
15ba8b3bca
hex7735a3c8

2000004040 has 16 divisors (see below), whose sum is σ = 4500009180. Its totient is φ = 800001600.

The previous prime is 2000004023. The next prime is 2000004043. The reversal of 2000004040 is 404000002.

It can be written as a sum of positive squares in 2 ways, for example, as 1971892836 + 28111204 = 44406^2 + 5302^2 .

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

It is not an unprimeable number, because it can be changed into a prime (2000004043) 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 3 ways as a sum of consecutive naturals, for example, 25000011 + ... + 25000090.

Almost surely, 22000004040 is an apocalyptic number.

2000004040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2000004040 is an abundant number, since it is smaller than the sum of its proper divisors (2500005140).

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

2000004040 is a wasteful number, since it uses less digits than its factorization.

2000004040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50000112 (or 50000108 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 10.

The square root of 2000004040 is about 44721.4047185461. The cubic root of 2000004040 is about 1259.9218982411.

Adding to 2000004040 its reverse (404000002), we get a palindrome (2404004042).

The spelling of 2000004040 in words is "two billion, four thousand, forty", and thus it is an eban number.

Divisors: 1 2 4 5 8 10 20 40 50000101 100000202 200000404 250000505 400000808 500001010 1000002020 2000004040