Base | Representation |
---|---|
bin | 1001110110001… |
… | …1110001010000 |
3 | 2212201102020012 |
4 | 2131203301100 |
5 | 41033144440 |
6 | 4033134052 |
7 | 1011033155 |
oct | 235436120 |
9 | 85642205 |
10 | 41303120 |
11 | 21350711 |
12 | 119ba328 |
13 | 8731a21 |
14 | 56b222c |
15 | 395ce65 |
hex | 2763c50 |
41303120 has 40 divisors (see below), whose sum is σ = 97125480. Its totient is φ = 16332800.
The previous prime is 41303117. The next prime is 41303123. The reversal of 41303120 is 2130314.
It is an interprime number because it is at equal distance from previous prime (41303117) and next prime (41303123).
It can be written as a sum of positive squares in 4 ways, for example, as 8904256 + 32398864 = 2984^2 + 5692^2 .
It is a tau number, because it is divible by the number of its divisors (40).
It is a junction number, because it is equal to n+sod(n) for n = 41303095 and 41303104.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (41303123) by changing a digit.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4220 + ... + 10020.
It is an arithmetic number, because the mean of its divisors is an integer number (2428137).
Almost surely, 241303120 is an apocalyptic number.
41303120 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 41303120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48562740).
41303120 is an abundant number, since it is smaller than the sum of its proper divisors (55822360).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
41303120 is a wasteful number, since it uses less digits than its factorization.
41303120 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 5903 (or 5897 counting only the distinct ones).
The product of its (nonzero) digits is 72, while the sum is 14.
The square root of 41303120 is about 6426.7503452367. The cubic root of 41303120 is about 345.6694137122.
Adding to 41303120 its reverse (2130314), we get a palindrome (43433434).
The spelling of 41303120 in words is "forty-one million, three hundred three thousand, one hundred twenty".
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