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BaseRepresentation
bin11101011100
32120210
4131130
530014
612420
75331
oct3534
92523
101884
111463
121110
13b1c
14988
15859
hex75c

1884 has 12 divisors (see below), whose sum is σ = 4424. Its totient is φ = 624.

The previous prime is 1879. The next prime is 1889. The reversal of 1884 is 4881.

It is an interprime number because it is at equal distance from previous prime (1879) and next prime (1889).

It is a tau number, because it is divible by the number of its divisors (12).

It is a nialpdrome in base 7, base 12 and base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 1884.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1889) by changing a digit.

1884 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 67 + ... + 90.

21884 is an apocalyptic number.

It is an amenable number.

1884 is an abundant number, since it is smaller than the sum of its proper divisors (2540).

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 (2212).

1884 is a wasteful number, since it uses less digits than its factorization.

1884 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 162 counting only the distinct ones).

The product of its digits is 256, while the sum is 21.

The square root of 1884 is about 43.4050688284. The cubic root of 1884 is about 12.3507585846.

The spelling of 1884 in words is "one thousand, eight hundred eighty-four".

Divisors: 1 2 3 4 6 12 157 314 471 628 942 1884