Base | Representation |
---|---|
bin | 10000110101100… |
… | …10100001100100 |
3 | 100211202202102200 |
4 | 20122302201210 |
5 | 242124143140 |
6 | 22003134500 |
7 | 3333344436 |
oct | 1032624144 |
9 | 324682380 |
10 | 141240420 |
11 | 727aa022 |
12 | 3b374430 |
13 | 23352b19 |
14 | 14a88656 |
15 | c5ee030 |
hex | 86b2864 |
141240420 has 144 divisors (see below), whose sum is σ = 459124848. Its totient is φ = 35020800.
The previous prime is 141240413. The next prime is 141240427. The reversal of 141240420 is 24042141.
141240420 is a `hidden beast` number, since 1 + 4 + 1 + 240 + 420 = 666.
It is an interprime number because it is at equal distance from previous prime (141240413) and next prime (141240427).
It can be written as a sum of positive squares in 8 ways, for example, as 41679936 + 99560484 = 6456^2 + 9978^2 .
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 141240393 and 141240402.
It is not an unprimeable number, because it can be changed into a prime (141240427) by changing a digit.
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 47 ways as a sum of consecutive naturals, for example, 308832 + ... + 309288.
It is an arithmetic number, because the mean of its divisors is an integer number (3188367).
Almost surely, 2141240420 is an apocalyptic number.
141240420 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 141240420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229562424).
141240420 is an abundant number, since it is smaller than the sum of its proper divisors (317884428).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
141240420 is a wasteful number, since it uses less digits than its factorization.
141240420 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 590 (or 585 counting only the distinct ones).
The product of its (nonzero) digits is 256, while the sum is 18.
The square root of 141240420 is about 11884.4612835416. The cubic root of 141240420 is about 520.7784445339.
Adding to 141240420 its reverse (24042141), we get a palindrome (165282561).
The spelling of 141240420 in words is "one hundred forty-one million, two hundred forty thousand, four hundred twenty".
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