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43140 = 2235719
BaseRepresentation
bin1010100010000100
32012011210
422202010
52340030
6531420
7236526
oct124204
965153
1043140
112a459
1220b70
1316836
1411a16
15cbb0
hexa884

43140 has 24 divisors (see below), whose sum is σ = 120960. Its totient is φ = 11488.

The previous prime is 43133. The next prime is 43151. The reversal of 43140 is 4134.

Adding to 43140 its reverse (4134), we get a palindrome (47274).

43140 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×431403 = 240858333432000, which contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an Ulam number.

43140 is strictly pandigital in base 6.

It is a nialpdrome in base 15 and base 16.

It is a congruent number.

It is an unprimeable number.

43140 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, 300 + ... + 419.

It is an arithmetic number, because the mean of its divisors is an integer number (5040).

243140 is an apocalyptic number.

It is an amenable number.

43140 is an abundant number, since it is smaller than the sum of its proper divisors (77820).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60480).

43140 is a wasteful number, since it uses less digits than its factorization.

43140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 731 (or 729 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 43140 is about 207.7017091889. The cubic root of 43140 is about 35.0719607891.

The spelling of 43140 in words is "forty-three thousand, one hundred forty", and thus it is an iban number.

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 719 1438 2157 2876 3595 4314 7190 8628 10785 14380 21570 43140