Base | Representation |
---|---|
bin | 1110101101100… |
… | …11111001010000 |
3 | 22121020101202000 |
4 | 13112303321100 |
5 | 223043421430 |
6 | 20125154000 |
7 | 3026024526 |
oct | 726637120 |
9 | 277211660 |
10 | 123420240 |
11 | 637384a9 |
12 | 353bb900 |
13 | 1c753938 |
14 | 1256a316 |
15 | ac7de60 |
hex | 75b3e50 |
123420240 has 80 divisors (see below), whose sum is σ = 425121600. Its totient is φ = 32911488.
The previous prime is 123420233. The next prime is 123420247. The reversal of 123420240 is 42024321.
123420240 is a `hidden beast` number, since 1 + 2 + 3 + 420 + 240 = 666.
It is an interprime number because it is at equal distance from previous prime (123420233) and next prime (123420247).
It is a tau number, because it is divible by the number of its divisors (80).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (123420247) 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, 26410 + ... + 30729.
It is an arithmetic number, because the mean of its divisors is an integer number (5314020).
Almost surely, 2123420240 is an apocalyptic number.
123420240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
123420240 is an abundant number, since it is smaller than the sum of its proper divisors (301701360).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
123420240 is a wasteful number, since it uses less digits than its factorization.
123420240 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 57161 (or 57149 counting only the distinct ones).
The product of its (nonzero) digits is 384, while the sum is 18.
The square root of 123420240 is about 11109.4662338026. The cubic root of 123420240 is about 497.8847171095.
Adding to 123420240 its reverse (42024321), we get a palindrome (165444561).
The spelling of 123420240 in words is "one hundred twenty-three million, four hundred twenty thousand, two hundred forty".
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