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43980 = 2235733
BaseRepresentation
bin1010101111001100
32020022220
422233030
52401410
6535340
7242136
oct125714
966286
1043980
1130052
1221550
1317031
1412056
15d070
hexabcc

43980 has 24 divisors (see below), whose sum is σ = 123312. Its totient is φ = 11712.

The previous prime is 43973. The next prime is 43987. The reversal of 43980 is 8934.

It is an interprime number because it is at equal distance from previous prime (43973) and next prime (43987).

It is a plaindrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 43980.

It is not an unprimeable number, because it can be changed into a prime (43987) by changing a digit.

43980 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 307 + ... + 426.

It is an arithmetic number, because the mean of its divisors is an integer number (5138).

243980 is an apocalyptic number.

It is an amenable number.

43980 is an abundant number, since it is smaller than the sum of its proper divisors (79332).

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 (61656).

43980 is a wasteful number, since it uses less digits than its factorization.

43980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 745 (or 743 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 43980 is about 209.7140910859. The cubic root of 43980 is about 35.2981335300.

Subtracting from 43980 its sum of digits (24), we obtain a triangular number (43956 = T296).

Adding to 43980 its product of nonzero digits (864), we get a palindrome (44844).

The spelling of 43980 in words is "forty-three thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 733 1466 2199 2932 3665 4398 7330 8796 10995 14660 21990 43980