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41310 = 235517
BaseRepresentation
bin1010000101011110
32002200000
422011132
52310220
6515130
7231303
oct120536
962600
1041310
1129045
121baa6
1315a59
14110aa
15c390
hexa15e

41310 has 48 divisors (see below), whose sum is σ = 117936. Its totient is φ = 10368.

The previous prime is 41299. The next prime is 41333. The reversal of 41310 is 1314.

41310 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-2 number, since 2×413102 = 3413032200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 41292 and 41301.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 41310.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2422 + ... + 2438.

It is an arithmetic number, because the mean of its divisors is an integer number (2457).

241310 is an apocalyptic number.

41310 is the 102-nd decagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58968).

41310 is an abundant number, since it is smaller than the sum of its proper divisors (76626).

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

41310 is a wasteful number, since it uses less digits than its factorization.

41310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 41310 is about 203.2486162315. The cubic root of 41310 is about 34.5688605753.

Adding to 41310 its reverse (1314), we get a palindrome (42624).

It can be divided in two parts, 41 and 310, that added together give a triangular number (351 = T26).

The spelling of 41310 in words is "forty-one thousand, three hundred ten", and thus it is an iban number.

Divisors: 1 2 3 5 6 9 10 15 17 18 27 30 34 45 51 54 81 85 90 102 135 153 162 170 243 255 270 306 405 459 486 510 765 810 918 1215 1377 1530 2295 2430 2754 4131 4590 6885 8262 13770 20655 41310