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123126 = 2320521
BaseRepresentation
bin11110000011110110
320020220020
4132003312
512420001
62350010
71021653
oct360366
9206806
10123126
1184563
125b306
1344073
1432c2a
1526736
hex1e0f6

123126 has 8 divisors (see below), whose sum is σ = 246264. Its totient is φ = 41040.

The previous prime is 123121. The next prime is 123127. The reversal of 123126 is 621321.

Adding to 123126 its reverse (621321), we get a palindrome (744447).

It is a sphenic number, since it is the product of 3 distinct primes.

123126 is an admirable number.

It is a Smith number, since the sum of its digits (15) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 123126.

It is not an unprimeable number, because it can be changed into a prime (123121) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10255 + ... + 10266.

It is an arithmetic number, because the mean of its divisors is an integer number (30783).

2123126 is an apocalyptic number.

123126 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

123126 is a wasteful number, since it uses less digits than its factorization.

123126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20526.

The product of its digits is 72, while the sum is 15.

The square root of 123126 is about 350.8931461286. The cubic root of 123126 is about 49.7488741612.

The spelling of 123126 in words is "one hundred twenty-three thousand, one hundred twenty-six".

Divisors: 1 2 3 6 20521 41042 61563 123126