Base | Representation |
---|---|
bin | 11001000101010… |
… | …111100010100101 |
3 | 1002022212202120121 |
4 | 121011113202211 |
5 | 1330213300131 |
6 | 105432001541 |
7 | 13300026415 |
oct | 3105274245 |
9 | 1068782517 |
10 | 420837541 |
11 | 1a6608523 |
12 | b8b302b1 |
13 | 69258cc7 |
14 | 3dc6a645 |
15 | 26e2c911 |
hex | 191578a5 |
420837541 has 2 divisors, whose sum is σ = 420837542. Its totient is φ = 420837540.
The previous prime is 420837539. The next prime is 420837553. The reversal of 420837541 is 145738024.
It is a weak prime.
It can be written as a sum of positive squares in only one way, i.e., 250430625 + 170406916 = 15825^2 + 13054^2 .
It is a cyclic number.
It is not a de Polignac number, because 420837541 - 21 = 420837539 is a prime.
It is a super-3 number, since 3×4208375413 (a number of 27 digits) contains 333 as substring.
Together with 420837539, it forms a pair of twin primes.
It is equal to p22386742 and since 420837541 and 22386742 have the same sum of digits, it is a Honaker prime.
It is a junction number, because it is equal to n+sod(n) for n = 420837497 and 420837506.
It is a congruent number.
It is not a weakly prime, because it can be changed into another prime (420837511) by changing a digit.
It is a polite number, since it can be written as a sum of consecutive naturals, namely, 210418770 + 210418771.
It is an arithmetic number, because the mean of its divisors is an integer number (210418771).
Almost surely, 2420837541 is an apocalyptic number.
It is an amenable number.
420837541 is a deficient number, since it is larger than the sum of its proper divisors (1).
420837541 is an equidigital number, since it uses as much as digits as its factorization.
420837541 is an evil number, because the sum of its binary digits is even.
The product of its (nonzero) digits is 26880, while the sum is 34.
The square root of 420837541 is about 20514.3252630936. The cubic root of 420837541 is about 749.3847048353.
The spelling of 420837541 in words is "four hundred twenty million, eight hundred thirty-seven thousand, five hundred forty-one".
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