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109288242 = 23272273821
BaseRepresentation
bin1101000001110…
…01101100110010
321121122102021200
412200321230302
5210434210432
614502232030
72464635420
oct640715462
9247572250
10109288242
1156765968
1230725616
13198463cb
141072c110
1598dba7c
hex6839b32

109288242 has 48 divisors (see below), whose sum is σ = 271881792. Its totient is φ = 31079520.

The previous prime is 109288181. The next prime is 109288243. The reversal of 109288242 is 242882901.

It is a junction number, because it is equal to n+sod(n) for n = 109288197 and 109288206.

It is not an unprimeable number, because it can be changed into a prime (109288243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26692 + ... + 30512.

It is an arithmetic number, because the mean of its divisors is an integer number (5664204).

Almost surely, 2109288242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 109288242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135940896).

109288242 is an abundant number, since it is smaller than the sum of its proper divisors (162593550).

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

109288242 is a wasteful number, since it uses less digits than its factorization.

109288242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4063 (or 4060 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 109288242 is about 10454.1016830716. The cubic root of 109288242 is about 478.1063149433.

The spelling of 109288242 in words is "one hundred nine million, two hundred eighty-eight thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 227 454 681 1362 1589 2043 3178 3821 4086 4767 7642 9534 11463 14301 22926 26747 28602 34389 53494 68778 80241 160482 240723 481446 867367 1734734 2602101 5204202 6071569 7806303 12143138 15612606 18214707 36429414 54644121 109288242