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2000404240 = 24525005053
BaseRepresentation
bin111011100111011…
…1011111100010000
312011102010001201221
41313032323330100
513044100413430
6530255334424
7100400104222
oct16716737420
95142101657
102000404240
119371a334a
12479b21414
1325b589363
1414d962412
15ba94257a
hex773bbf10

2000404240 has 20 divisors (see below), whose sum is σ = 4650940044. Its totient is φ = 800161664.

The previous prime is 2000404207. The next prime is 2000404249. The reversal of 2000404240 is 424040002.

It can be written as a sum of positive squares in 2 ways, for example, as 277822224 + 1722582016 = 16668^2 + 41504^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (2000404249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12502447 + ... + 12502606.

Almost surely, 22000404240 is an apocalyptic number.

2000404240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2000404240 is an abundant number, since it is smaller than the sum of its proper divisors (2650535804).

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

2000404240 is a wasteful number, since it uses less digits than its factorization.

2000404240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25005066 (or 25005060 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 2000404240 is about 44725.8788622426. The cubic root of 2000404240 is about 1260.0059292574.

Adding to 2000404240 its reverse (424040002), we get a palindrome (2424444242).

The spelling of 2000404240 in words is "two billion, four hundred four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 25005053 50010106 100020212 125025265 200040424 250050530 400080848 500101060 1000202120 2000404240