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8120868 = 223731973
BaseRepresentation
bin11110111110101000100100
3120021120201220
4132332220210
54034331433
6450020340
7126012000
oct36765044
916246656
108120868
114647368
1228776b0
1318b4462
141115700
15aa62b3
hex7bea24

8120868 has 48 divisors (see below), whose sum is σ = 22108800. Its totient is φ = 2319072.

The previous prime is 8120867. The next prime is 8120873. The reversal of 8120868 is 8680218.

It is not an unprimeable number, because it can be changed into a prime (8120867) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3130 + ... + 5102.

It is an arithmetic number, because the mean of its divisors is an integer number (460600).

Almost surely, 28120868 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8120868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11054400).

8120868 is an abundant number, since it is smaller than the sum of its proper divisors (13987932).

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

8120868 is a wasteful number, since it uses less digits than its factorization.

8120868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2001 (or 1985 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 33.

The square root of 8120868 is about 2849.7136698272. The cubic root of 8120868 is about 201.0022028916.

The spelling of 8120868 in words is "eight million, one hundred twenty thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 343 588 686 1029 1372 1973 2058 3946 4116 5919 7892 11838 13811 23676 27622 41433 55244 82866 96677 165732 193354 290031 386708 580062 676739 1160124 1353478 2030217 2706956 4060434 8120868