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43080 = 2335359
BaseRepresentation
bin1010100001001000
32012002120
422201020
52334310
6531240
7236412
oct124110
965076
1043080
112a404
1220b20
13167bb
14119b2
15cb70
hexa848

43080 has 32 divisors (see below), whose sum is σ = 129600. Its totient is φ = 11456.

The previous prime is 43067. The next prime is 43093. The reversal of 43080 is 8034.

43080 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (43067) and next prime (43093).

It is a Harshad number since it is a multiple of its sum of digits (15).

43080 is strictly pandigital in base 6.

It is a plaindrome in base 13.

It is a nialpdrome in base 15.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 43080.

It is an unprimeable number.

43080 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 7 ways as a sum of consecutive naturals, for example, 60 + ... + 299.

It is an arithmetic number, because the mean of its divisors is an integer number (4050).

243080 is an apocalyptic number.

43080 is a gapful number since it is divisible by the number (40) 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 43080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64800).

43080 is an abundant number, since it is smaller than the sum of its proper divisors (86520).

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

43080 is a wasteful number, since it uses less digits than its factorization.

43080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 43080 is about 207.5572210259. The cubic root of 43080 is about 35.0556936436.

The spelling of 43080 in words is "forty-three thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 359 718 1077 1436 1795 2154 2872 3590 4308 5385 7180 8616 10770 14360 21540 43080