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800009680 = 24510000121
BaseRepresentation
bin101111101011110…
…010110111010000
32001202100200222011
4233223302313100
53114300302210
6211214552304
725552653511
oct5753626720
92052320864
10800009680
11380648128
121a3b08694
13c9987412
147836ca08
154a379d8a
hex2faf2dd0

800009680 has 20 divisors (see below), whose sum is σ = 1860022692. Its totient is φ = 320003840.

The previous prime is 800009657. The next prime is 800009729. The reversal of 800009680 is 86900008.

It can be written as a sum of positive squares in 2 ways, for example, as 329640336 + 470369344 = 18156^2 + 21688^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4999981 + ... + 5000140.

Almost surely, 2800009680 is an apocalyptic number.

800009680 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

800009680 is an abundant number, since it is smaller than the sum of its proper divisors (1060013012).

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

800009680 is a wasteful number, since it uses less digits than its factorization.

800009680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10000134 (or 10000128 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 31.

The square root of 800009680 is about 28284.4423667853. The cubic root of 800009680 is about 928.3215109224.

Adding to 800009680 its reverse (86900008), we get a palindrome (886909688).

The spelling of 800009680 in words is "eight hundred million, nine thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 10000121 20000242 40000484 50000605 80000968 100001210 160001936 200002420 400004840 800009680