Search a number
-
+
8182116 = 2232227281
BaseRepresentation
bin11111001101100101100100
3120101200202100
4133031211210
54043311431
6451212100
7126355365
oct37154544
916350670
108182116
114689388
1228a7030
1319062b7
14112db6c
15ab94e6
hex7cd964

8182116 has 18 divisors (see below), whose sum is σ = 20682662. Its totient is φ = 2727360.

The previous prime is 8182091. The next prime is 8182121. The reversal of 8182116 is 6112818.

It can be written as a sum of positive squares in only one way, i.e., 6502500 + 1679616 = 2550^2 + 1296^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-3 number, since 3×81821163 (a number of 22 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 8182116.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 113605 + ... + 113676.

Almost surely, 28182116 is an apocalyptic number.

It is an amenable number.

8182116 is an abundant number, since it is smaller than the sum of its proper divisors (12500546).

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

8182116 is a wasteful number, since it uses less digits than its factorization.

8182116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227291 (or 227286 counting only the distinct ones).

The product of its digits is 768, while the sum is 27.

The square root of 8182116 is about 2860.4398263204. The cubic root of 8182116 is about 201.5062607475.

The spelling of 8182116 in words is "eight million, one hundred eighty-two thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 227281 454562 681843 909124 1363686 2045529 2727372 4091058 8182116