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1926 = 232107
BaseRepresentation
bin11110000110
32122100
4132012
530201
612530
75421
oct3606
92570
101926
1114a1
121146
13b52
149b8
15886
hex786

1926 has 12 divisors (see below), whose sum is σ = 4212. Its totient is φ = 636.

The previous prime is 1913. The next prime is 1931. The reversal of 1926 is 6291.

It can be divided in two parts, 19 and 26, that multiplied together give a palindrome (494).

It is a super-3 number, since 3×19263 = 21433352328, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 107 = 1926 / (1 + 9 + 2 + 6).

It is a nude number because it is divisible by every one of its digits.

It is one of the 548 Lynch-Bell numbers.

It is a Curzon number.

It is a plaindrome in base 12.

It is a nialpdrome in base 7, base 13 and base 15.

It is a junction number, because it is equal to n+sod(n) for n = 1899 and 1908.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 1926.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 36 + ... + 71.

It is an arithmetic number, because the mean of its divisors is an integer number (351).

1926 is the 36-th pentagonal number.

1926 is an abundant number, since it is smaller than the sum of its proper divisors (2286).

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

1926 is a wasteful number, since it uses less digits than its factorization.

1926 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 112 counting only the distinct ones).

The product of its digits is 108, while the sum is 18.

The square root of 1926 is about 43.8862165150. The cubic root of 1926 is about 12.4418633630.

The spelling of 1926 in words is "one thousand, nine hundred twenty-six".

Divisors: 1 2 3 6 9 18 107 214 321 642 963 1926