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280080 = 24325389
BaseRepresentation
bin1000100011000010000
3112020012100
41010120100
532430310
610000400
72244363
oct1043020
9466170
10280080
11181479
12116100
139a638
14740da
1557ec0
hex44610

280080 has 60 divisors (see below), whose sum is σ = 943020. Its totient is φ = 74496.

The previous prime is 280069. The next prime is 280097. The reversal of 280080 is 80082.

It can be written as a sum of positive squares in 2 ways, for example, as 82944 + 197136 = 288^2 + 444^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 526 + ... + 914.

It is an arithmetic number, because the mean of its divisors is an integer number (15717).

2280080 is an apocalyptic number.

280080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 280080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471510).

280080 is an abundant number, since it is smaller than the sum of its proper divisors (662940).

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

280080 is a wasteful number, since it uses less digits than its factorization.

280080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 280080 is about 529.2258497088. The cubic root of 280080 is about 65.4275562130.

The spelling of 280080 in words is "two hundred eighty thousand, eighty".