Base | Representation |
---|---|
bin | 1110110010111… |
… | …10010010000000 |
3 | 22122112212002022 |
4 | 13121132102000 |
5 | 223233240034 |
6 | 20152141012 |
7 | 3034662323 |
oct | 731362200 |
9 | 278485068 |
10 | 124118144 |
11 | 64074887 |
12 | 35697768 |
13 | 1c9394b7 |
14 | 126ac7ba |
15 | ad6ab2e |
hex | 765e480 |
124118144 has 48 divisors (see below), whose sum is σ = 256309170. Its totient is φ = 59867136.
The previous prime is 124118131. The next prime is 124118149. The reversal of 124118144 is 441811421.
It can be written as a sum of positive squares in 3 ways, for example, as 118548544 + 5569600 = 10888^2 + 2360^2 .
It is a nude number because it is divisible by every one of its digits.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (124118149) by changing a digit.
It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 107072 + ... + 108224.
Almost surely, 2124118144 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 124118144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128154585).
124118144 is an abundant number, since it is smaller than the sum of its proper divisors (132191026).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
124118144 is an equidigital number, since it uses as much as digits as its factorization.
124118144 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1225 (or 1184 counting only the distinct ones).
The product of its digits is 1024, while the sum is 26.
The square root of 124118144 is about 11140.8322848879. The cubic root of 124118144 is about 498.8214160626.
Adding to 124118144 its reverse (441811421), we get a palindrome (565929565).
The spelling of 124118144 in words is "one hundred twenty-four million, one hundred eighteen thousand, one hundred forty-four".
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