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5976 = 233283
BaseRepresentation
bin1011101011000
322012100
41131120
5142401
643400
723265
oct13530
98170
105976
114543
123560
132949
14226c
151b86
hex1758

5976 has 24 divisors (see below), whose sum is σ = 16380. Its totient is φ = 1968.

The previous prime is 5953. The next prime is 5981. The reversal of 5976 is 6795.

5976 is an esthetic number in base 11, because in such base its adjacent digits differ by 1.

It is a tau number, because it is divible by the number of its divisors (24).

It is a plaindrome in base 14.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 5976.

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 5 ways as a sum of consecutive naturals, for example, 31 + ... + 113.

25976 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 5976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8190).

5976 is an abundant number, since it is smaller than the sum of its proper divisors (10404).

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

5976 is a wasteful number, since it uses less digits than its factorization.

5976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 88 counting only the distinct ones).

The product of its digits is 1890, while the sum is 27.

The square root of 5976 is about 77.3045923604. The cubic root of 5976 is about 18.1469452774.

The spelling of 5976 in words is "five thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 83 166 249 332 498 664 747 996 1494 1992 2988 5976