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242109 = 347261
BaseRepresentation
bin111011000110111101
3110022010000
4323012331
530221414
65104513
72025600
oct730675
9408100
10242109
1115599a
12b8139
138627a
1464337
154bb09
hex3b1bd

242109 has 30 divisors (see below), whose sum is σ = 427614. Its totient is φ = 136080.

The previous prime is 242101. The next prime is 242119. The reversal of 242109 is 901242.

It can be written as a sum of positive squares in only one way, i.e., 142884 + 99225 = 378^2 + 315^2 .

It is not a de Polignac number, because 242109 - 23 = 242101 is a prime.

It is a plaindrome in base 11.

It is a junction number, because it is equal to n+sod(n) for n = 242091 and 242100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242101) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 3939 + ... + 3999.

2242109 is an apocalyptic number.

It is an amenable number.

242109 is a deficient number, since it is larger than the sum of its proper divisors (185505).

242109 is an equidigital number, since it uses as much as digits as its factorization.

242109 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 71 counting only the distinct ones).

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

The square root of 242109 is about 492.0457295821. The cubic root of 242109 is about 62.3261515425.

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

The spelling of 242109 in words is "two hundred forty-two thousand, one hundred nine".

Divisors: 1 3 7 9 21 27 49 61 63 81 147 183 189 427 441 549 567 1281 1323 1647 2989 3843 3969 4941 8967 11529 26901 34587 80703 242109