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5946 = 23991
BaseRepresentation
bin1011100111010
322011020
41130322
5142241
643310
723223
oct13472
98136
105946
114516
123536
132925
14224a
151b66
hex173a

5946 has 8 divisors (see below), whose sum is σ = 11904. Its totient is φ = 1980.

The previous prime is 5939. The next prime is 5953. The reversal of 5946 is 6495.

5946 is nontrivially palindromic in base 5.

It is an interprime number because it is at equal distance from previous prime (5939) and next prime (5953).

It is a sphenic number, since it is the product of 3 distinct primes.

5946 is an admirable number.

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 Ulam number.

It is a plaindrome in base 14.

It is a nialpdrome in base 6.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 490 + ... + 501.

It is an arithmetic number, because the mean of its divisors is an integer number (1488).

5946 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5952).

5946 is a wasteful number, since it uses less digits than its factorization.

5946 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 996.

The product of its digits is 1080, while the sum is 24.

The square root of 5946 is about 77.1103105946. The cubic root of 5946 is about 18.1165279470.

It can be divided in two parts, 59 and 46, that added together give a triangular number (105 = T14).

The spelling of 5946 in words is "five thousand, nine hundred forty-six".

Divisors: 1 2 3 6 991 1982 2973 5946