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109242 = 2337172
BaseRepresentation
bin11010101010111010
312112212000
4122222322
511443432
62201430
7633330
oct325272
9175760
10109242
1175091
1253276
133a953
142bb50
152257c
hex1aaba

109242 has 48 divisors (see below), whose sum is σ = 294720. Its totient is φ = 29376.

The previous prime is 109229. The next prime is 109253. The reversal of 109242 is 242901.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a plaindrome in base 15.

It is a nialpdrome in base 7.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 109242.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6418 + ... + 6434.

It is an arithmetic number, because the mean of its divisors is an integer number (6140).

2109242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 109242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147360).

109242 is an abundant number, since it is smaller than the sum of its proper divisors (185478).

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

109242 is a wasteful number, since it uses less digits than its factorization.

109242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 109242 is about 330.5177756188. The cubic root of 109242 is about 47.8038873375.

It can be divided in two parts, 109 and 242, that added together give a triangular number (351 = T26).

The spelling of 109242 in words is "one hundred nine thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 9 14 17 18 21 27 34 42 51 54 63 102 119 126 153 189 238 289 306 357 378 459 578 714 867 918 1071 1734 2023 2142 2601 3213 4046 5202 6069 6426 7803 12138 15606 18207 36414 54621 109242