Base | Representation |
---|---|
bin | 1110110100010… |
… | …11001110100000 |
3 | 22122220012121200 |
4 | 13122023032200 |
5 | 223310132430 |
6 | 20200121200 |
7 | 3036360126 |
oct | 732131640 |
9 | 278805550 |
10 | 124302240 |
11 | 64190127 |
12 | 35766200 |
13 | 1c9a222a |
14 | 12719916 |
15 | ada5460 |
hex | 768b3a0 |
124302240 has 144 divisors (see below), whose sum is σ = 435832488. Its totient is φ = 32237568.
The previous prime is 124302239. The next prime is 124302247. The reversal of 124302240 is 42203421.
124302240 is a `hidden beast` number, since 12 + 430 + 224 + 0 = 666.
It can be written as a sum of positive squares in 4 ways, for example, as 112275216 + 12027024 = 10596^2 + 3468^2 .
It is a tau number, because it is divible by the number of its divisors (144).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is not an unprimeable number, because it can be changed into a prime (124302247) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52114 + ... + 54446.
Almost surely, 2124302240 is an apocalyptic number.
124302240 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 124302240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217916244).
124302240 is an abundant number, since it is smaller than the sum of its proper divisors (311530248).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
124302240 is a wasteful number, since it uses less digits than its factorization.
124302240 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2391 (or 2380 counting only the distinct ones).
The product of its (nonzero) digits is 384, while the sum is 18.
The square root of 124302240 is about 11149.0914428038. The cubic root of 124302240 is about 499.0679168551.
Adding to 124302240 its reverse (42203421), we get a palindrome (166505661).
The spelling of 124302240 in words is "one hundred twenty-four million, three hundred two thousand, two hundred forty".
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