Search a number
-
+
2996 = 227107
BaseRepresentation
bin101110110100
311002222
4232310
543441
621512
711510
oct5664
94088
102996
112284
121898
131496
141140
15d4b
hexbb4

2996 has 12 divisors (see below), whose sum is σ = 6048. Its totient is φ = 1272.

The previous prime is 2971. The next prime is 2999. The reversal of 2996 is 6992.

2996 is nontrivially palindromic in base 6.

2996 is an admirable number.

It is a nialpdrome in base 16.

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2999) by changing a digit.

2996 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 3 ways as a sum of consecutive naturals, for example, 26 + ... + 81.

It is an arithmetic number, because the mean of its divisors is an integer number (504).

22996 is an apocalyptic number.

It is an amenable number.

2996 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 (3024).

2996 is a wasteful number, since it uses less digits than its factorization.

2996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 116 counting only the distinct ones).

The product of its digits is 972, while the sum is 26.

The square root of 2996 is about 54.7357287336. The cubic root of 2996 is about 14.4160828540.

It can be divided in two parts, 29 and 96, that added together give a cube (125 = 53).

The spelling of 2996 in words is "two thousand, nine hundred ninety-six".

Divisors: 1 2 4 7 14 28 107 214 428 749 1498 2996