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5940 = 2233511
BaseRepresentation
bin1011100110100
322011000
41130310
5142230
643300
723214
oct13464
98130
105940
114510
123530
13291c
142244
151b60
hex1734

5940 has 48 divisors (see below), whose sum is σ = 20160. Its totient is φ = 1440.

The previous prime is 5939. The next prime is 5953. The reversal of 5940 is 495.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a plaindrome in base 14.

It is a nialpdrome in base 6.

It is a zygodrome in base 14.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 535 + ... + 545.

It is an arithmetic number, because the mean of its divisors is an integer number (420).

25940 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 5940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10080).

5940 is an abundant number, since it is smaller than the sum of its proper divisors (14220).

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

5940 is a wasteful number, since it uses less digits than its factorization.

5940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 5940 is about 77.0713954720. The cubic root of 5940 is about 18.1104322104.

5940 divided by its product of nonzero digits (180) gives a palindrome (33).

Subtracting from 5940 its reverse (495), we obtain a palindrome (5445).

It can be divided in two parts, 59 and 40, that added together give a palindrome (99).

The spelling of 5940 in words is "five thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 90 99 108 110 132 135 165 180 198 220 270 297 330 396 495 540 594 660 990 1188 1485 1980 2970 5940