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806108160 = 210351113367
BaseRepresentation
bin110000000011000…
…011110000000000
32002011211112111210
4300003003300000
53122330430120
6211553410120
725655543364
oct6003036000
92064745453
10806108160
11384032aa0
121a5b69940
13cb0111a0
14790b92a4
154ab81ce0
hex300c3c00

806108160 has 352 divisors, whose sum is σ = 3037289472. Its totient is φ = 179896320.

The previous prime is 806108141. The next prime is 806108183. The reversal of 806108160 is 61801608.

It is a tau number, because it is divible by the number of its divisors (352).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2196297 + ... + 2196663.

Almost surely, 2806108160 is an apocalyptic number.

806108160 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 806108160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1518644736).

806108160 is an abundant number, since it is smaller than the sum of its proper divisors (2231181312).

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

806108160 is a wasteful number, since it uses less digits than its factorization.

806108160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 806108160 is about 28392.0439560099. The cubic root of 806108160 is about 930.6744096512.

Adding to 806108160 its reverse (61801608), we get a palindrome (867909768).

The spelling of 806108160 in words is "eight hundred six million, one hundred eight thousand, one hundred sixty".