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2043040000 = 28541132
BaseRepresentation
bin111100111000110…
…0101000100000000
312021101100012000011
41321301211010000
513141004240000
6534421234304
7101425360561
oct17161450400
95241305004
102043040000
11959274211
12490262994
13267366811
141554a0168
15be5652ba
hex79c65100

2043040000 has 135 divisors (see below), whose sum is σ = 5141489353. Its totient is φ = 809984000.

The previous prime is 2043039997. The next prime is 2043040007. The reversal of 2043040000 is 403402.

The square root of 2043040000 is 45200.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 1997017344 + 46022656 = 44688^2 + 6784^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2043040007) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 18079944 + ... + 18080056.

Almost surely, 22043040000 is an apocalyptic number.

2043040000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2043040000 is the 45200-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2043040000

2043040000 is an abundant number, since it is smaller than the sum of its proper divisors (3098449353).

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

2043040000 is an frugal number, since it uses more digits than its factorization.

2043040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 13.

The cubic root of 2043040000 is about 1268.8948163139.

Adding to 2043040000 its reverse (403402), we get a palindrome (2043443402).

The spelling of 2043040000 in words is "two billion, forty-three million, forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 113 125 128 160 200 226 250 256 320 400 452 500 565 625 640 800 904 1000 1130 1250 1280 1600 1808 2000 2260 2500 2825 3200 3616 4000 4520 5000 5650 6400 7232 8000 9040 10000 11300 12769 14125 14464 16000 18080 20000 22600 25538 28250 28928 32000 36160 40000 45200 51076 56500 63845 70625 72320 80000 90400 102152 113000 127690 141250 144640 160000 180800 204304 226000 255380 282500 319225 361600 408608 452000 510760 565000 638450 723200 817216 904000 1021520 1130000 1276900 1596125 1634432 1808000 2043040 2260000 2553800 3192250 3268864 3616000 4086080 4520000 5107600 6384500 7980625 8172160 9040000 10215200 12769000 15961250 16344320 18080000 20430400 25538000 31922500 40860800 51076000 63845000 81721600 102152000 127690000 204304000 255380000 408608000 510760000 1021520000 2043040000