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8001340080 = 243533338917
BaseRepresentation
bin1110111001110101…
…01100001010110000
3202122121221012010220
413130322230022300
5112341320340310
63401544253040
7402165161046
oct73472541260
922577835126
108001340080
113436603258
121673771180
139a68c2076
1455c936396
1531c6b2670
hex1dceac2b0

8001340080 has 40 divisors (see below), whose sum is σ = 24804154992. Its totient is φ = 2133690624.

The previous prime is 8001340031. The next prime is 8001340121. The reversal of 8001340080 is 800431008.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 8001340080.

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 7 ways as a sum of consecutive naturals, for example, 16669219 + ... + 16669698.

Almost surely, 28001340080 is an apocalyptic number.

8001340080 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8001340080 is an abundant number, since it is smaller than the sum of its proper divisors (16802814912).

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

8001340080 is a wasteful number, since it uses less digits than its factorization.

8001340080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33338933 (or 33338927 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 8001340080 is about 89450.2100612402. The cubic root of 8001340080 is about 2000.1116670984. Note that the first 3 decimals are identical.

Adding to 8001340080 its reverse (800431008), we get a palindrome (8801771088).

The spelling of 8001340080 in words is "eight billion, one million, three hundred forty thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 33338917 66677834 100016751 133355668 166694585 200033502 266711336 333389170 400067004 500083755 533422672 666778340 800134008 1000167510 1333556680 1600268016 2000335020 2667113360 4000670040 8001340080