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5874 = 231189
BaseRepresentation
bin1011011110010
322001120
41123302
5141444
643110
723061
oct13362
98046
105874
114460
123496
13289b
1421d8
151b19
hex16f2

5874 has 16 divisors (see below), whose sum is σ = 12960. Its totient is φ = 1760.

The previous prime is 5869. The next prime is 5879. The reversal of 5874 is 4785.

Subtracting from 5874 its reverse (4785), we obtain a square (1089 = 332).

It is an interprime number because it is at equal distance from previous prime (5869) and next prime (5879).

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is an alternating number because its digits alternate between odd and even.

It is a plaindrome in base 13.

It is a nialpdrome in base 6.

It is not an unprimeable number, because it can be changed into a prime (5879) 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, 22 + ... + 110.

It is an arithmetic number, because the mean of its divisors is an integer number (810).

It is a practical number, because each smaller number is the sum of distinct divisors of 5874, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6480).

5874 is an abundant number, since it is smaller than the sum of its proper divisors (7086).

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

5874 is a wasteful number, since it uses less digits than its factorization.

5874 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105.

The product of its digits is 1120, while the sum is 24.

The square root of 5874 is about 76.6420250254. The cubic root of 5874 is about 18.0431065622.

The spelling of 5874 in words is "five thousand, eight hundred seventy-four".

Divisors: 1 2 3 6 11 22 33 66 89 178 267 534 979 1958 2937 5874