Base | Representation |
---|---|
bin | 1001110111001… |
… | …1100011010000 |
3 | 2212211200220021 |
4 | 2131303203100 |
5 | 41042232020 |
6 | 4034353224 |
7 | 1011422500 |
oct | 235634320 |
9 | 85750807 |
10 | 41367760 |
11 | 21395235 |
12 | 11a2b814 |
13 | 8755285 |
14 | 56cba00 |
15 | 39721aa |
hex | 27738d0 |
41367760 has 120 divisors (see below), whose sum is σ = 114374376. Its totient is φ = 13870080.
The previous prime is 41367751. The next prime is 41367803. The reversal of 41367760 is 6776314.
41367760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 4 ways, for example, as 2729104 + 38638656 = 1652^2 + 6216^2 .
It is a super-2 number, since 2×413677602 = 3422583134835200, which contains 22 as substring.
It is a congruent number.
It is an unprimeable number.
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, 239034 + ... + 239206.
Almost surely, 241367760 is an apocalyptic number.
41367760 is a gapful number since it is divisible by the number (40) 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 41367760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57187188).
41367760 is an abundant number, since it is smaller than the sum of its proper divisors (73006616).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
41367760 is a wasteful number, since it uses less digits than its factorization.
41367760 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 261 (or 248 counting only the distinct ones).
The product of its (nonzero) digits is 21168, while the sum is 34.
The square root of 41367760 is about 6431.7773593308. Note that the first 3 decimals coincide. The cubic root of 41367760 is about 345.8496456556.
The spelling of 41367760 in words is "forty-one million, three hundred sixty-seven thousand, seven hundred sixty".
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