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8200 = 235241
BaseRepresentation
bin10000000001000
3102020201
42000020
5230300
6101544
732623
oct20010
912221
108200
116185
1248b4
13396a
142dba
15266a
hex2008

8200 has 24 divisors (see below), whose sum is σ = 19530. Its totient is φ = 3200.

The previous prime is 8191. The next prime is 8209. The reversal of 8200 is 28.

It is a happy number.

8200 is nontrivially palindromic in base 3, base 7 and base 9.

It is an interprime number because it is at equal distance from previous prime (8191) and next prime (8209).

It can be written as a sum of positive squares in 3 ways, for example, as 3844 + 4356 = 62^2 + 66^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a d-powerful number, because it can be written as 8 + 0 + 213 + 0 .

It is a plaindrome in base 15.

It is a nialpdrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (8209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (2) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 180 + ... + 220.

28200 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 8200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9765).

8200 is an abundant number, since it is smaller than the sum of its proper divisors (11330).

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

8200 is a wasteful number, since it uses less digits than its factorization.

It is an anagram of its base 16 representation: 8200 = (2008)16.

8200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 8200 is about 90.5538513814. The cubic root of 8200 is about 20.1652967522.

8200 divided by its sum of digits (10) gives a triangular number (820 = T40).

Adding to 8200 its reverse (28), we get a palindrome (8228).

It can be divided in two parts, 8 and 200, that multiplied together give a square (1600 = 402).

The spelling of 8200 in words is "eight thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 41 50 82 100 164 200 205 328 410 820 1025 1640 2050 4100 8200