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2054 = 21379
BaseRepresentation
bin100000000110
32211002
4200012
531204
613302
75663
oct4006
92732
102054
1115a8
121232
13c20
14a6a
1591e
hex806

2054 has 8 divisors (see below), whose sum is σ = 3360. Its totient is φ = 936.

The previous prime is 2053. The next prime is 2063. The reversal of 2054 is 4502.

2054 = 62 + 72 + ... + 182.

2054 is nontrivially palindromic in base 14.

2054 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

2054 is an esthetic number in base 12, because in such base its adjacent digits differ by 1.

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

It is an Ulam number.

2054 is an undulating number in base 14.

2054 is a modest number, since divided by 54 gives 2 as remainder.

2054 is strictly pandigital in base 5.

It is a nialpdrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14 + ... + 65.

It is an arithmetic number, because the mean of its divisors is an integer number (420).

22054 is an apocalyptic number.

2054 is a deficient number, since it is larger than the sum of its proper divisors (1306).

2054 is a wasteful number, since it uses less digits than its factorization.

2054 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94.

The product of its (nonzero) digits is 40, while the sum is 11.

The square root of 2054 is about 45.3210767745. The cubic root of 2054 is about 12.7115978952.

Adding to 2054 its reverse (4502), we get a palindrome (6556).

It can be divided in two parts, 205 and 4, that multiplied together give a triangular number (820 = T40).

The spelling of 2054 in words is "two thousand, fifty-four", and thus it is an eban number.

Divisors: 1 2 13 26 79 158 1027 2054