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BaseRepresentation
bin11110010000
32122201
4132100
530221
612544
75434
oct3620
92581
101936
111500
121154
13b5c
149c4
15891
hex790

1936 has 15 divisors (see below), whose sum is σ = 4123. Its totient is φ = 880.

The previous prime is 1933. The next prime is 1949. The reversal of 1936 is 6391.

1936 = T13 + T14 + ... + T23.

The square root of 1936 is 44.

It is a perfect power (a square), and thus also a powerful number.

1936 is an esthetic number in base 7, because in such base its adjacent digits differ by 1.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 171 + ... + 181.

1936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1936 is the 44-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1936

1936 is an abundant number, since it is smaller than the sum of its proper divisors (2187).

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

1936 is a wasteful number, since it uses less digits than its factorization.

1936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30 (or 13 counting only the distinct ones).

The product of its digits is 162, while the sum is 19.

The cubic root of 1936 is about 12.4633593687.

It can be divided in two parts, 19 and 36, that added together give a palindrome (55).

The spelling of 1936 in words is "one thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 484 968 1936