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1914 = 231129
BaseRepresentation
bin11101111010
32121220
4131322
530124
612510
75403
oct3572
92556
101914
111490
121136
13b43
149aa
15879
hex77a

1914 has 16 divisors (see below), whose sum is σ = 4320. Its totient is φ = 560.

The previous prime is 1913. The next prime is 1931. The reversal of 1914 is 4191.

Added to its reverse (4191) it gives a triangular number (6105 = T110).

1914 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

1914 is strictly pandigital in base 5.

It is a plaindrome in base 9, base 12, base 14 and base 16.

It is a nialpdrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 1893 and 1902.

It is not an unprimeable number, because it can be changed into a prime (1913) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52 + ... + 80.

It is an arithmetic number, because the mean of its divisors is an integer number (270).

21914 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1914, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2160).

1914 is an abundant number, since it is smaller than the sum of its proper divisors (2406).

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

1914 is a wasteful number, since it uses less digits than its factorization.

1914 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45.

The product of its digits is 36, while the sum is 15.

The square root of 1914 is about 43.7492857085. The cubic root of 1914 is about 12.4159697120.

Adding to 1914 its reverse (4191), we get a triangular number (6105 = T110).

It can be divided in two parts, 19 and 14, that added together give a palindrome (33).

The spelling of 1914 in words is "one thousand, nine hundred fourteen".

Divisors: 1 2 3 6 11 22 29 33 58 66 87 174 319 638 957 1914