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8005000780 = 2257142940013
BaseRepresentation
bin1110111010010001…
…01001111001001100
3202122212211011200101
413131020221321030
5112343240011110
63402154540444
7402241245460
oct73510517114
922585734611
108005000780
113438683627
121674a37724
139a75a436a
1455d20a4a0
1531cb8713a
hex1dd229e4c

8005000780 has 48 divisors (see below), whose sum is σ = 19225926720. Its totient is φ = 2742582528.

The previous prime is 8005000777. The next prime is 8005000859. The reversal of 8005000780 is 870005008.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 180054 + ... + 220066.

It is an arithmetic number, because the mean of its divisors is an integer number (400540140).

Almost surely, 28005000780 is an apocalyptic number.

It is an amenable number.

8005000780 is an abundant number, since it is smaller than the sum of its proper divisors (11220925940).

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

8005000780 is a wasteful number, since it uses less digits than its factorization.

8005000780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41458 (or 41456 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 28.

The square root of 8005000780 is about 89470.6699427248. The cubic root of 8005000780 is about 2000.4166448642.

Adding to 8005000780 its reverse (870005008), we get a palindrome (8875005788).

The spelling of 8005000780 in words is "eight billion, five million, seven hundred eighty", and thus it is an aban number.

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 1429 2858 5716 7145 10003 14290 20006 28580 40012 40013 50015 80026 100030 160052 200060 200065 280091 400130 560182 800260 1120364 1400455 2800910 5601820 57178577 114357154 228714308 285892885 400250039 571785770 800500078 1143571540 1601000156 2001250195 4002500390 8005000780