Base | Representation |
---|---|
bin | 1110110000100… |
… | …00110100000000 |
3 | 22121221201211000 |
4 | 13120100310000 |
5 | 223143111312 |
6 | 20141252000 |
7 | 3032201241 |
oct | 730206400 |
9 | 277851730 |
10 | 123800832 |
11 | 63978441 |
12 | 35564000 |
13 | 1c857c3c |
14 | 12628cc8 |
15 | ad06adc |
hex | 7610d00 |
123800832 has 72 divisors (see below), whose sum is σ = 366121280. Its totient is φ = 41264640.
The previous prime is 123800813. The next prime is 123800839. The reversal of 123800832 is 238008321.
It is a tau number, because it is divible by the number of its divisors (72).
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a junction number, because it is equal to n+sod(n) for n = 123800796 and 123800805.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (123800839) 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, 2044 + ... + 15867.
Almost surely, 2123800832 is an apocalyptic number.
123800832 is a gapful number since it is divisible by the number (12) 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 123800832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183060640).
123800832 is an abundant number, since it is smaller than the sum of its proper divisors (242320448).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
123800832 is an equidigital number, since it uses as much as digits as its factorization.
123800832 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 17936 (or 17916 counting only the distinct ones).
The product of its (nonzero) digits is 2304, while the sum is 27.
The square root of 123800832 is about 11126.5822245647. The cubic root of 123800832 is about 498.3959690052.
The spelling of 123800832 in words is "one hundred twenty-three million, eight hundred thousand, eight hundred thirty-two".
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