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1940 = 22597
BaseRepresentation
bin11110010100
32122212
4132110
530230
612552
75441
oct3624
92585
101940
111504
121158
13b63
149c8
15895
hex794

1940 has 12 divisors (see below), whose sum is σ = 4116. Its totient is φ = 768.

The previous prime is 1933. The next prime is 1949. The reversal of 1940 is 491.

1940 = T8 + T9 + ... + T22.

1940 is nontrivially palindromic in base 3.

It can be written as a sum of positive squares in 2 ways, for example, as 784 + 1156 = 28^2 + 34^2 .

It is a plaindrome in base 12.

It is a nialpdrome in base 7 and base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1949) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 29 + ... + 68.

It is an arithmetic number, because the mean of its divisors is an integer number (343).

21940 is an apocalyptic number.

1940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1940 is an abundant number, since it is smaller than the sum of its proper divisors (2176).

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 (2058).

1940 is a wasteful number, since it uses less digits than its factorization.

1940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 1940 is about 44.0454310911. The cubic root of 1940 is about 12.4719370448.

The spelling of 1940 in words is "one thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 97 194 388 485 970 1940