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43940 = 225133
BaseRepresentation
bin1010101110100100
32020021102
422232210
52401230
6535232
7242051
oct125644
966242
1043940
1130016
1221518
1317000
1412028
15d045
hexaba4

43940 has 24 divisors (see below), whose sum is σ = 99960. Its totient is φ = 16224.

The previous prime is 43933. The next prime is 43943. The reversal of 43940 is 4934.

43940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 16384 + 27556 = 128^2 + 166^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (43943) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3374 + ... + 3386.

It is an arithmetic number, because the mean of its divisors is an integer number (4165).

243940 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 43940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49980).

43940 is an abundant number, since it is smaller than the sum of its proper divisors (56020).

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

43940 is a wasteful number, since it uses less digits than its factorization.

43940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48 (or 20 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 43940 is about 209.6187014558. The cubic root of 43940 is about 35.2874290157.

43940 divided by its sum of digits (20) gives a cube (2197 = 133).

The spelling of 43940 in words is "forty-three thousand, nine hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 169 260 338 676 845 1690 2197 3380 4394 8788 10985 21970 43940