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10414305 = 335117013
BaseRepresentation
bin100111101110…
…100011100001
3201121002202000
4213232203201
510131224210
61011114213
7154343256
oct47564341
921532660
1010414305
115973470
1235a2969
132208315
14155142d
15daaac0
hex9ee8e1

10414305 has 32 divisors (see below), whose sum is σ = 20200320. Its totient is φ = 5048640.

The previous prime is 10414289. The next prime is 10414309. The reversal of 10414305 is 50341401.

It is a happy number.

It is not a de Polignac number, because 10414305 - 24 = 10414289 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10414309) 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, 2022 + ... + 4991.

It is an arithmetic number, because the mean of its divisors is an integer number (631260).

Almost surely, 210414305 is an apocalyptic number.

10414305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10414305 is a deficient number, since it is larger than the sum of its proper divisors (9786015).

10414305 is a wasteful number, since it uses less digits than its factorization.

10414305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7038 (or 7032 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 10414305 is about 3227.1202332730. The cubic root of 10414305 is about 218.3786100897.

Adding to 10414305 its reverse (50341401), we get a palindrome (60755706).

The spelling of 10414305 in words is "ten million, four hundred fourteen thousand, three hundred five".

Divisors: 1 3 5 9 11 15 27 33 45 55 99 135 165 297 495 1485 7013 21039 35065 63117 77143 105195 189351 231429 315585 385715 694287 946755 1157145 2082861 3471435 10414305