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8120838 = 2311711733
BaseRepresentation
bin11110111110101000000110
3120021120200210
4132332220012
54034331323
6450020250
7126011625
oct36765006
916246623
108120838
114647340
122877686
1318b443b
1411156bc
15aa6293
hex7bea06

8120838 has 32 divisors (see below), whose sum is σ = 17978112. Its totient is φ = 2424800.

The previous prime is 8120837. The next prime is 8120839. The reversal of 8120838 is 8380218.

It is an interprime number because it is at equal distance from previous prime (8120837) and next prime (8120839).

It is a plaindrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8120837) 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, 3820 + ... + 5552.

It is an arithmetic number, because the mean of its divisors is an integer number (561816).

Almost surely, 28120838 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8120838, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8989056).

8120838 is an abundant number, since it is smaller than the sum of its proper divisors (9857274).

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

8120838 is a wasteful number, since it uses less digits than its factorization.

8120838 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1820.

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 8120838 is about 2849.7084061356. The cubic root of 8120838 is about 201.0019553781.

The spelling of 8120838 in words is "eight million, one hundred twenty thousand, eight hundred thirty-eight".

Divisors: 1 2 3 6 11 22 33 66 71 142 213 426 781 1562 1733 2343 3466 4686 5199 10398 19063 38126 57189 114378 123043 246086 369129 738258 1353473 2706946 4060419 8120838