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80200 = 2352401
BaseRepresentation
bin10011100101001000
311002000101
4103211020
510031300
61415144
7452551
oct234510
9132011
1080200
115528a
123a4b4
132a673
1421328
1518b6a
hex13948

80200 has 24 divisors (see below), whose sum is σ = 186930. Its totient is φ = 32000.

The previous prime is 80191. The next prime is 80207. The reversal of 80200 is 208.

Adding to 80200 its reverse (208), we get a palindrome (80408).

It is a happy number.

80200 is a nontrivial binomial coefficient, being equal to C(401, 2).

It can be written as a sum of positive squares in 3 ways, for example, as 77284 + 2916 = 278^2 + 54^2 .

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 not an unprimeable number, because it can be changed into a prime (80207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1 + ... + 400.

280200 is an apocalyptic number.

80200 is the 400-th triangular number.

80200 is the 134-th centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93465).

80200 is an abundant number, since it is smaller than the sum of its proper divisors (106730).

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

80200 is a wasteful number, since it uses less digits than its factorization.

80200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 408 counting only the distinct ones).

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

The square root of 80200 is about 283.1960451701. The cubic root of 80200 is about 43.1245711643.

The spelling of 80200 in words is "eighty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 401 802 1604 2005 3208 4010 8020 10025 16040 20050 40100 80200