Base | Representation |
---|---|
bin | 1110101100010… |
… | …11100101000000 |
3 | 22120221000012212 |
4 | 13112023211000 |
5 | 223023130404 |
6 | 20121441252 |
7 | 3024436220 |
oct | 726134500 |
9 | 276830185 |
10 | 123255104 |
11 | 63635425 |
12 | 35340228 |
13 | 1c6c671b |
14 | 12526080 |
15 | ac4a06e |
hex | 758b940 |
123255104 has 112 divisors (see below), whose sum is σ = 296265600. Its totient is φ = 49760256.
The previous prime is 123255079. The next prime is 123255107. The reversal of 123255104 is 401552321.
It is a tau number, because it is divible by the number of its divisors (112).
It is a self number, because there is not a number n which added to its sum of digits gives 123255104.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (123255107) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 688487 + ... + 688665.
Almost surely, 2123255104 is an apocalyptic number.
123255104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 123255104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148132800).
123255104 is an abundant number, since it is smaller than the sum of its proper divisors (173010496).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
123255104 is a wasteful number, since it uses less digits than its factorization.
123255104 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 280 (or 270 counting only the distinct ones).
The product of its (nonzero) digits is 1200, while the sum is 23.
The square root of 123255104 is about 11102.0315258064. The cubic root of 123255104 is about 497.6625617931.
The spelling of 123255104 in words is "one hundred twenty-three million, two hundred fifty-five thousand, one hundred four".
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