Base | Representation |
---|---|
bin | 1110110000111… |
… | …10110010000000 |
3 | 22122001122022010 |
4 | 13120132302000 |
5 | 223201424143 |
6 | 20142412520 |
7 | 3032530116 |
oct | 730366200 |
9 | 278048263 |
10 | 123858048 |
11 | 63a07426 |
12 | 35591140 |
13 | 1c877cb2 |
14 | 12641ab6 |
15 | ad18a33 |
hex | 761ec80 |
123858048 has 64 divisors (see below), whose sum is σ = 337065120. Its totient is φ = 40273920.
The previous prime is 123858047. The next prime is 123858061. The reversal of 123858048 is 840858321.
It is a tau number, because it is divible by the number of its divisors (64).
It is a junction number, because it is equal to n+sod(n) for n = 123857997 and 123858015.
It is not an unprimeable number, because it can be changed into a prime (123858041) 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, 11811 + ... + 19677.
Almost surely, 2123858048 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 123858048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168532560).
123858048 is an abundant number, since it is smaller than the sum of its proper divisors (213207072).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
123858048 is an equidigital number, since it uses as much as digits as its factorization.
123858048 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 7925 (or 7913 counting only the distinct ones).
The product of its (nonzero) digits is 61440, while the sum is 39.
The square root of 123858048 is about 11129.1530675070. The cubic root of 123858048 is about 498.4727370188.
The spelling of 123858048 in words is "one hundred twenty-three million, eight hundred fifty-eight thousand, forty-eight".
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