Cookie Consent by FreePrivacyPolicy.com
Search a number
-
+
5740 = 225741
BaseRepresentation
bin1011001101100
321212121
41121230
5140430
642324
722510
oct13154
97777
105740
114349
1233a4
1327c7
142140
151a7a
hex166c

5740 has 24 divisors (see below), whose sum is σ = 14112. Its totient is φ = 1920.

The previous prime is 5737. The next prime is 5741. The reversal of 5740 is 475.

5740 is nontrivially palindromic in base 6 and base 9.

5740 is an esthetic number in base 3, because in such base its adjacent digits differ by 1.

5740 is an undulating number in base 3.

5740 is a nontrivial repdigit in base 9.

It is a plaindrome in base 9 and base 16.

It is a nialpdrome in base 9.

It is a zygodrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (5741) 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, 120 + ... + 160.

It is an arithmetic number, because the mean of its divisors is an integer number (588).

25740 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 5740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7056).

5740 is an abundant number, since it is smaller than the sum of its proper divisors (8372).

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

5740 is a wasteful number, since it uses less digits than its factorization.

5740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 16.

The square root of 5740 is about 75.7627876995. The cubic root of 5740 is about 17.9048476826.

The spelling of 5740 in words is "five thousand, seven hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 41 70 82 140 164 205 287 410 574 820 1148 1435 2870 5740