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293106 = 23114441
BaseRepresentation
bin1000111100011110010
3112220001210
41013203302
533334411
610140550
72330352
oct1074362
9486053
10293106
11190240
12121756
13a3548
1478b62
155bca6
hex478f2

293106 has 16 divisors (see below), whose sum is σ = 639648. Its totient is φ = 88800.

The previous prime is 293099. The next prime is 293107. The reversal of 293106 is 601392.

293106 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2931062 = 171822254472, which contains 22 as substring.

It is a Curzon number.

It is a zygodrome in base 5.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 293106.

It is not an unprimeable number, because it can be changed into a prime (293107) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2155 + ... + 2286.

It is an arithmetic number, because the mean of its divisors is an integer number (39978).

2293106 is an apocalyptic number.

293106 is an abundant number, since it is smaller than the sum of its proper divisors (346542).

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

293106 is a wasteful number, since it uses less digits than its factorization.

293106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4457.

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 293106 is about 541.3926486387. The cubic root of 293106 is about 66.4265305023.

Adding to 293106 its reverse (601392), we get a palindrome (894498).

The spelling of 293106 in words is "two hundred ninety-three thousand, one hundred six".

Divisors: 1 2 3 6 11 22 33 66 4441 8882 13323 26646 48851 97702 146553 293106