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2036 = 22509
BaseRepresentation
bin11111110100
32210102
4133310
531121
613232
75636
oct3764
92712
102036
111591
121218
13c08
14a56
1590b
hex7f4

2036 has 6 divisors (see below), whose sum is σ = 3570. Its totient is φ = 1016.

The previous prime is 2029. The next prime is 2039. The reversal of 2036 is 6302.

Subtracting from 2036 its sum of digits (11), we obtain a square (2025 = 452).

Adding to 2036 its reverse (6302), we get a palindrome (8338).

2036 = T23 + T24 + ... + T28.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 1936 + 100 = 44^2 + 10^2 .

2036 is a modest number, since divided by 36 gives 20 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2039) by changing a digit.

2036 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 251 + ... + 258.

It is equal to the Eulerian number A(11, 1).

It is an arithmetic number, because the mean of its divisors is an integer number (595).

It is an amenable number.

2036 is a deficient number, since it is larger than the sum of its proper divisors (1534).

2036 is a wasteful number, since it uses less digits than its factorization.

2036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

The square root of 2036 is about 45.1220566907. The cubic root of 2036 is about 12.6743566724.

The spelling of 2036 in words is "two thousand, thirty-six", and thus it is an eban number.

Divisors: 1 2 4 509 1018 2036