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8005700070 = 2335296310007
BaseRepresentation
bin1110111010010110…
…10100100111100110
3202122221010200221000
413131023110213212
5112343424400240
63402221534130
7402250220304
oct73513244746
922587120830
108005700070
113439010a55
121675114346
139a778a744
1455d34d274
1531cc74430
hex1dd2d49e6

8005700070 has 64 divisors (see below), whose sum is σ = 21357872640. Its totient is φ = 2133919584.

The previous prime is 8005700051. The next prime is 8005700099. The reversal of 8005700070 is 700075008.

It is a super-2 number, since 2×80057000702 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 795007 + ... + 805013.

It is an arithmetic number, because the mean of its divisors is an integer number (333716760).

Almost surely, 28005700070 is an apocalyptic number.

8005700070 is an abundant number, since it is smaller than the sum of its proper divisors (13352172570).

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

8005700070 is a wasteful number, since it uses less digits than its factorization.

8005700070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12986 (or 12980 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The square root of 8005700070 is about 89474.5777860952. The cubic root of 8005700070 is about 2000.4748930627.

Adding to 8005700070 its reverse (700075008), we get a palindrome (8705775078).

The spelling of 8005700070 in words is "eight billion, five million, seven hundred thousand, seventy".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 2963 5926 8889 10007 14815 17778 20014 26667 29630 30021 44445 50035 53334 60042 80001 88890 90063 100070 133335 150105 160002 180126 266670 270189 300210 400005 450315 540378 800010 900630 1350945 2701890 29650741 59301482 88952223 148253705 177904446 266856669 296507410 444761115 533713338 800570007 889522230 1334283345 1601140014 2668566690 4002850035 8005700070