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8073104 = 2413371049
BaseRepresentation
bin11110110010111110010000
3120012011012212
4132302332100
54031314404
6445011252
7125422514
oct36627620
916164185
108073104
114614496
122853b28
1318987b0
141102144
15a9706e
hex7b2f90

8073104 has 40 divisors (see below), whose sum is σ = 17316600. Its totient is φ = 3621888.

The previous prime is 8073103. The next prime is 8073127. The reversal of 8073104 is 4013708.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3055504 + 5017600 = 1748^2 + 2240^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 8073104.

It is not an unprimeable number, because it can be changed into a prime (8073103) 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 7 ways as a sum of consecutive naturals, for example, 7172 + ... + 8220.

It is an arithmetic number, because the mean of its divisors is an integer number (432915).

Almost surely, 28073104 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 8073104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8658300).

8073104 is an abundant number, since it is smaller than the sum of its proper divisors (9243496).

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

8073104 is a wasteful number, since it uses less digits than its factorization.

8073104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1107 (or 1101 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 8073104 is about 2841.3208196189. The cubic root of 8073104 is about 200.6073537402.

The spelling of 8073104 in words is "eight million, seventy-three thousand, one hundred four".

Divisors: 1 2 4 8 13 16 26 37 52 74 104 148 208 296 481 592 962 1049 1924 2098 3848 4196 7696 8392 13637 16784 27274 38813 54548 77626 109096 155252 218192 310504 504569 621008 1009138 2018276 4036552 8073104