Base | Representation |
---|---|
bin | 1110101010100… |
… | …01010010010000 |
3 | 22120110212200121 |
4 | 13111101102100 |
5 | 222443010321 |
6 | 20112400024 |
7 | 3022423132 |
oct | 725212220 |
9 | 276425617 |
10 | 123016336 |
11 | 63491aa3 |
12 | 35246014 |
13 | 1c641b41 |
14 | 124a3052 |
15 | abee441 |
hex | 7551490 |
123016336 has 40 divisors (see below), whose sum is σ = 252885600. Its totient is φ = 57807360.
The previous prime is 123016307. The next prime is 123016349. The reversal of 123016336 is 633610321.
It is a self number, because there is not a number n which added to its sum of digits gives 123016336.
It is an unprimeable number.
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 7 ways as a sum of consecutive naturals, for example, 38280 + ... + 41368.
It is an arithmetic number, because the mean of its divisors is an integer number (6322140).
Almost surely, 2123016336 is an apocalyptic number.
123016336 is a gapful number since it is divisible by the number (16) 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 123016336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126442800).
123016336 is an abundant number, since it is smaller than the sum of its proper divisors (129869264).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
123016336 is a wasteful number, since it uses less digits than its factorization.
123016336 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3247 (or 3241 counting only the distinct ones).
The product of its (nonzero) digits is 1944, while the sum is 25.
The square root of 123016336 is about 11091.2729657150. The cubic root of 123016336 is about 497.3409991623.
Adding to 123016336 its reverse (633610321), we get a palindrome (756626657).
The spelling of 123016336 in words is "one hundred twenty-three million, sixteen thousand, three hundred thirty-six".
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