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41130414 = 232131371283
BaseRepresentation
bin1001110011100…
…1100110101110
32212101122022200
42130321212232
541012133124
64025322330
71006413513
oct234714656
985348280
1041130414
1121242986
12119363a6
1386a1230
14566930a
153926bc9
hex27399ae

41130414 has 48 divisors (see below), whose sum is σ = 96746832. Its totient is φ = 12553344.

The previous prime is 41130413. The next prime is 41130443. The reversal of 41130414 is 41403114.

It is a super-2 number, since 2×411304142 = 3383421911622792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41130413) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31417 + ... + 32699.

It is an arithmetic number, because the mean of its divisors is an integer number (2015559).

Almost surely, 241130414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41130414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48373416).

41130414 is an abundant number, since it is smaller than the sum of its proper divisors (55616418).

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

41130414 is a wasteful number, since it uses less digits than its factorization.

41130414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1441 (or 1438 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 41130414 is about 6413.2997746870. The cubic root of 41130414 is about 345.1869434221.

Adding to 41130414 its reverse (41403114), we get a palindrome (82533528).

The spelling of 41130414 in words is "forty-one million, one hundred thirty thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 137 234 274 411 822 1233 1283 1781 2466 2566 3562 3849 5343 7698 10686 11547 16029 16679 23094 32058 33358 50037 100074 150111 175771 300222 351542 527313 1054626 1581939 2285023 3163878 4570046 6855069 13710138 20565207 41130414