Search a number
-
+
41300310 = 23517471723
BaseRepresentation
bin1001110110001…
…1000101010110
32212201021101010
42131203011112
541033102220
64033113050
71011022032
oct235430526
985637333
1041300310
1121349597
12119b8786
13873066c
1456b11c2
15395c1e0
hex2763156

41300310 has 64 divisors (see below), whose sum is σ = 107246592. Its totient is φ = 10139136.

The previous prime is 41300297. The next prime is 41300317. The reversal of 41300310 is 1300314.

41300310 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-5 number, since 5×413003105 (a number of 39 digits) contains 55555 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41300317) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 23109 + ... + 24831.

It is an arithmetic number, because the mean of its divisors is an integer number (1675728).

Almost surely, 241300310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41300310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53623296).

41300310 is an abundant number, since it is smaller than the sum of its proper divisors (65946282).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

41300310 is a wasteful number, since it uses less digits than its factorization.

41300310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1797.

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 41300310 is about 6426.5317240328. The cubic root of 41300310 is about 345.6615744894.

Adding to 41300310 its reverse (1300314), we get a palindrome (42600624).

The spelling of 41300310 in words is "forty-one million, three hundred thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 17 30 34 47 51 85 94 102 141 170 235 255 282 470 510 705 799 1410 1598 1723 2397 3446 3995 4794 5169 7990 8615 10338 11985 17230 23970 25845 29291 51690 58582 80981 87873 146455 161962 175746 242943 292910 404905 439365 485886 809810 878730 1214715 1376677 2429430 2753354 4130031 6883385 8260062 13766770 20650155 41300310