Base | Representation |
---|---|
bin | 100000000000111… |
… | …001001011011010 |
3 | 1101102122202201000 |
4 | 200000321023122 |
5 | 2044444330424 |
6 | 125144005430 |
7 | 16211214060 |
oct | 4000711332 |
9 | 1342582630 |
10 | 537105114 |
11 | 256200027 |
12 | 12ba60876 |
13 | 873770a0 |
14 | 51494030 |
15 | 322473c9 |
hex | 200392da |
537105114 has 128 divisors (see below), whose sum is σ = 1520064000. Its totient is φ = 136733184.
The previous prime is 537105103. The next prime is 537105187. The reversal of 537105114 is 411501735.
537105114 is a `hidden beast` number, since 537 + 10 + 5 + 114 = 666.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is an unprimeable number.
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 63 ways as a sum of consecutive naturals, for example, 140622 + ... + 144390.
It is an arithmetic number, because the mean of its divisors is an integer number (11875500).
Almost surely, 2537105114 is an apocalyptic number.
537105114 is a gapful number since it is divisible by the number (54) formed by its first and last digit.
It is a practical number, because each smaller number is the sum of distinct divisors of 537105114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (760032000).
537105114 is an abundant number, since it is smaller than the sum of its proper divisors (982958886).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
537105114 is a wasteful number, since it uses less digits than its factorization.
537105114 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3829 (or 3823 counting only the distinct ones).
The product of its (nonzero) digits is 2100, while the sum is 27.
The square root of 537105114 is about 23175.5283434920. The cubic root of 537105114 is about 812.8675047219.
Adding to 537105114 its reverse (411501735), we get a palindrome (948606849).
The spelling of 537105114 in words is "five hundred thirty-seven million, one hundred five thousand, one hundred fourteen".
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