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2000404000 = 2553771443
BaseRepresentation
bin111011100111011…
…1011111000100000
312011102010001102001
41313032323320200
513044100412000
6530255333344
7100400103430
oct16716737040
95142101361
102000404000
119371a3151
12479b21254
1325b58920a
1414d9622c0
15ba94246a
hex773bbe20

2000404000 has 96 divisors (see below), whose sum is σ = 5617213056. Its totient is φ = 685843200.

The previous prime is 2000403983. The next prime is 2000404009. The reversal of 2000404000 is 4040002.

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 (2000404009) 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, 7722 + ... + 63721.

It is an arithmetic number, because the mean of its divisors is an integer number (58512636).

Almost surely, 22000404000 is an apocalyptic number.

2000404000 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 2000404000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2808606528).

2000404000 is an abundant number, since it is smaller than the sum of its proper divisors (3616809056).

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

2000404000 is an equidigital number, since it uses as much as digits as its factorization.

2000404000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71475 (or 71457 counting only the distinct ones).

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

The square root of 2000404000 is about 44725.8761792321. The cubic root of 2000404000 is about 1260.0058788673.

Adding to 2000404000 its reverse (4040002), we get a palindrome (2004444002).

The spelling of 2000404000 in words is "two billion, four hundred four thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 70 80 100 112 125 140 160 175 200 224 250 280 350 400 500 560 700 800 875 1000 1120 1400 1750 2000 2800 3500 4000 5600 7000 14000 28000 71443 142886 285772 357215 500101 571544 714430 1000202 1143088 1428860 1786075 2000404 2286176 2500505 2857720 3572150 4000808 5001010 5715440 7144300 8001616 8930375 10002020 11430880 12502525 14288600 16003232 17860750 20004040 25005050 28577200 35721500 40008080 50010100 57154400 62512625 71443000 80016160 100020200 125025250 142886000 200040400 250050500 285772000 400080800 500101000 1000202000 2000404000