Base | Representation |
---|---|
bin | 1110110000110… |
… | …10111000000000 |
3 | 22122000211100112 |
4 | 13120122320000 |
5 | 223200421143 |
6 | 20142210452 |
7 | 3032432351 |
oct | 730327000 |
9 | 278024315 |
10 | 123842048 |
11 | 639a6400 |
12 | 35583a28 |
13 | 1c870925 |
14 | 12639d28 |
15 | ad13e18 |
hex | 761ae00 |
123842048 has 60 divisors (see below), whose sum is σ = 272118000. Its totient is φ = 56263680.
The previous prime is 123842041. The next prime is 123842077. The reversal of 123842048 is 840248321.
It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (32).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (123842041) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 60953 + ... + 62951.
It is an arithmetic number, because the mean of its divisors is an integer number (4535300).
Almost surely, 2123842048 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 123842048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136059000).
123842048 is an abundant number, since it is smaller than the sum of its proper divisors (148275952).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
123842048 is an equidigital number, since it uses as much as digits as its factorization.
123842048 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2039 (or 2012 counting only the distinct ones).
The product of its (nonzero) digits is 12288, while the sum is 32.
The square root of 123842048 is about 11128.4342115142. The cubic root of 123842048 is about 498.4512718351.
The spelling of 123842048 in words is "one hundred twenty-three million, eight hundred forty-two thousand, forty-eight".
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