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8204112 = 243372713
BaseRepresentation
bin11111010010111101010000
3120102210221000
4133102331100
54100012422
6451502000
7126506460
oct37227520
916383830
108204112
1146a3964
1228b7900
131913307
141137ba0
15ac0cac
hex7d2f50

8204112 has 80 divisors (see below), whose sum is σ = 26922880. Its totient is φ = 2343168.

The previous prime is 8204111. The next prime is 8204113. The reversal of 8204112 is 2114028.

It is an interprime number because it is at equal distance from previous prime (8204111) and next prime (8204113).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8204111) 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, 1668 + ... + 4380.

It is an arithmetic number, because the mean of its divisors is an integer number (336536).

Almost surely, 28204112 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 8204112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13461440).

8204112 is an abundant number, since it is smaller than the sum of its proper divisors (18718768).

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

8204112 is a wasteful number, since it uses less digits than its factorization.

8204112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2737 (or 2725 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 8204112 is about 2864.2821090109. The cubic root of 8204112 is about 201.6866690843.

The spelling of 8204112 in words is "eight million, two hundred four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 756 1008 1512 2713 3024 5426 8139 10852 16278 18991 21704 24417 32556 37982 43408 48834 56973 65112 73251 75964 97668 113946 130224 146502 151928 170919 195336 227892 293004 303856 341838 390672 455784 512757 586008 683676 911568 1025514 1172016 1367352 2051028 2734704 4102056 8204112