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123008 = 27312
BaseRepresentation
bin11110000010000000
320020201212
4132002000
512414013
62345252
71021424
oct360200
9206655
10123008
1184466
125b228
1343cb2
1432b84
15266a8
hex1e080

123008 has 24 divisors (see below), whose sum is σ = 253215. Its totient is φ = 59520.

The previous prime is 123007. The next prime is 123017. The reversal of 123008 is 800321.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 61504 + 61504 = 248^2 + 248^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=248.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 122983 and 123001.

It is not an unprimeable number, because it can be changed into a prime (123001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 3953 + ... + 3983.

2123008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123008

123008 is an abundant number, since it is smaller than the sum of its proper divisors (130207).

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

123008 is an frugal number, since it uses more digits than its factorization.

123008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 123008 is about 350.7249634685. The cubic root of 123008 is about 49.7329765076.

Adding to 123008 its reverse (800321), we get a palindrome (923329).

The spelling of 123008 in words is "one hundred twenty-three thousand, eight".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 248 496 961 992 1922 1984 3844 3968 7688 15376 30752 61504 123008