Search a number
-
+
109278 = 23213467
BaseRepresentation
bin11010101011011110
312112220100
4122223132
511444103
62201530
7633411
oct325336
9175810
10109278
1175114
12532a6
133a980
142bb78
15225a3
hex1aade

109278 has 24 divisors (see below), whose sum is σ = 255528. Its totient is φ = 33552.

The previous prime is 109267. The next prime is 109279. The reversal of 109278 is 872901.

109278 is a nontrivial binomial coefficient, being equal to C(468, 2).

It is an alternating number because its digits alternate between odd and even.

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109279) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1 + ... + 467.

It is an arithmetic number, because the mean of its divisors is an integer number (10647).

2109278 is an apocalyptic number.

109278 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

109278 is the 467-th triangular number and also the 234-th hexagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 109278, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127764).

109278 is an abundant number, since it is smaller than the sum of its proper divisors (146250).

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

109278 is a wasteful number, since it uses less digits than its factorization.

109278 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 109278 is about 330.5722311387. The cubic root of 109278 is about 47.8091379156.

The spelling of 109278 in words is "one hundred nine thousand, two hundred seventy-eight".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 467 934 1401 2802 4203 6071 8406 12142 18213 36426 54639 109278