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8940 = 2235149
BaseRepresentation
bin10001011101100
3110021010
42023230
5241230
6105220
735031
oct21354
913233
108940
116798
125210
1340b9
143388
1529b0
hex22ec

8940 has 24 divisors (see below), whose sum is σ = 25200. Its totient is φ = 2368.

The previous prime is 8933. The next prime is 8941. The reversal of 8940 is 498.

8940 = T40 + T41 + ... + T48.

8940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a plaindrome in base 14.

It is a nialpdrome in base 12.

It is a zygodrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (8941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15 + ... + 134.

It is an arithmetic number, because the mean of its divisors is an integer number (1050).

28940 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 8940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12600).

8940 is an abundant number, since it is smaller than the sum of its proper divisors (16260).

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

8940 is a wasteful number, since it uses less digits than its factorization.

8940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 8940 is about 94.5515732286. The cubic root of 8940 is about 20.7545110432.

The spelling of 8940 in words is "eight thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 149 298 447 596 745 894 1490 1788 2235 2980 4470 8940