Base | Representation |
---|---|
bin | 1110101100100… |
… | …11011000000000 |
3 | 22120222122000200 |
4 | 13112103120000 |
5 | 223030141130 |
6 | 20122245200 |
7 | 3024631302 |
oct | 726233000 |
9 | 276878020 |
10 | 123287040 |
11 | 63657418 |
12 | 35356800 |
13 | 1c708116 |
14 | 12533972 |
15 | ac54760 |
hex | 7593600 |
123287040 has 120 divisors (see below), whose sum is σ = 427057488. Its totient is φ = 32870400.
The previous prime is 123287011. The next prime is 123287051. The reversal of 123287040 is 40782321.
It is a tau number, because it is divible by the number of its divisors (120).
It is a junction number, because it is equal to n+sod(n) for n = 123286995 and 123287013.
It is a congruent number.
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 11 ways as a sum of consecutive naturals, for example, 20365 + ... + 25715.
Almost surely, 2123287040 is an apocalyptic number.
123287040 is a gapful number since it is divisible by the number (10) 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 123287040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213528744).
123287040 is an abundant number, since it is smaller than the sum of its proper divisors (303770448).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
123287040 is an equidigital number, since it uses as much as digits as its factorization.
123287040 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 5380 (or 5361 counting only the distinct ones).
The product of its (nonzero) digits is 2688, while the sum is 27.
The square root of 123287040 is about 11103.4697279724. The cubic root of 123287040 is about 497.7055403489.
The spelling of 123287040 in words is "one hundred twenty-three million, two hundred eighty-seven thousand, forty".
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