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8316 = 2233711
BaseRepresentation
bin10000001111100
3102102000
42001330
5231231
6102300
733150
oct20174
912360
108316
116280
124990
133a29
143060
1526e6
hex207c

8316 has 48 divisors (see below), whose sum is σ = 26880. Its totient is φ = 2160.

The previous prime is 8311. The next prime is 8317. The reversal of 8316 is 6138.

It can be divided in two parts, 83 and 16, that added together give a palindrome (99).

8316 = T9 + T10 + ... + T36.

8316 = 133 + 143 + 153.

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

It is an Ulam number.

It is a d-powerful number, because it can be written as 83 + 1 + 33 + 65 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8311) by changing a digit.

8316 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 751 + ... + 761.

It is an arithmetic number, because the mean of its divisors is an integer number (560).

28316 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 8316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13440).

8316 is an abundant number, since it is smaller than the sum of its proper divisors (18564).

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

8316 is a wasteful number, since it uses less digits than its factorization.

8316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31 (or 23 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 8316 is about 91.1921049214. The cubic root of 8316 is about 20.2599402501.

The spelling of 8316 in words is "eight thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 27 28 33 36 42 44 54 63 66 77 84 99 108 126 132 154 189 198 231 252 297 308 378 396 462 594 693 756 924 1188 1386 2079 2772 4158 8316