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2072 = 23737
BaseRepresentation
bin100000011000
32211202
4200120
531242
613332
76020
oct4030
92752
102072
111614
121248
13c35
14a80
15932
hex818

2072 has 16 divisors (see below), whose sum is σ = 4560. Its totient is φ = 864.

The previous prime is 2069. The next prime is 2081. The reversal of 2072 is 2702.

2072 is nontrivially palindromic in base 16.

2072 is an undulating number in base 16.

It is a plaindrome in base 12.

It is a nialpdrome in base 14 and base 15.

It is a congruent number.

It is an unprimeable number.

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, 38 + ... + 74.

It is an arithmetic number, because the mean of its divisors is an integer number (285).

22072 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 2072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2280).

2072 is an abundant number, since it is smaller than the sum of its proper divisors (2488).

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

2072 is a wasteful number, since it uses less digits than its factorization.

2072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 11.

The square root of 2072 is about 45.5192267070. The cubic root of 2072 is about 12.7486221759.

Adding to 2072 its reverse (2702), we get a palindrome (4774).

Subtracting 2072 from its reverse (2702), we obtain a triangular number (630 = T35).

It can be divided in two parts, 207 and 2, that multiplied together give a palindrome (414).

The spelling of 2072 in words is "two thousand, seventy-two", and thus it is an iban number.

Divisors: 1 2 4 7 8 14 28 37 56 74 148 259 296 518 1036 2072