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8216 = 231379
BaseRepresentation
bin10000000011000
3102021022
42000120
5230331
6102012
732645
oct20030
912238
108216
11619a
124908
133980
142dcc
15267b
hex2018

8216 has 16 divisors (see below), whose sum is σ = 16800. Its totient is φ = 3744.

The previous prime is 8209. The next prime is 8219. The reversal of 8216 is 6128.

It can be divided in two parts, 8 and 216, that multiplied together give a cube (1728 = 123).

8216 = T11 + T12 + ... + T36.

8216 is a modest number, since divided by 216 gives 8 as remainder.

It is a plaindrome in base 9 and base 15.

It is a junction number, because it is equal to n+sod(n) for n = 8194 and 8203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 65 + ... + 143.

It is an arithmetic number, because the mean of its divisors is an integer number (1050).

28216 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 8216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8400).

8216 is an abundant number, since it is smaller than the sum of its proper divisors (8584).

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

8216 is a wasteful number, since it uses less digits than its factorization.

8216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 94 counting only the distinct ones).

The product of its digits is 96, while the sum is 17.

The square root of 8216 is about 90.6421535490. The cubic root of 8216 is about 20.1784038711.

The spelling of 8216 in words is "eight thousand, two hundred sixteen".

Divisors: 1 2 4 8 13 26 52 79 104 158 316 632 1027 2054 4108 8216