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426630105 = 335112312491
BaseRepresentation
bin11001011011011…
…101101111011001
31002201210001111000
4121123131233121
51333204130410
6110200055213
713400203356
oct3133355731
91081701430
10426630105
111a9904570
12baa64509
136a506765
144093762d
15276c3dc0
hex196ddbd9

426630105 has 64 divisors (see below), whose sum is σ = 863447040. Its totient is φ = 197841600.

The previous prime is 426630101. The next prime is 426630109. The reversal of 426630105 is 501036624.

426630105 is a `hidden beast` number, since 4 + 26 + 630 + 1 + 0 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (426630101) and next prime (426630109).

It is not a de Polignac number, because 426630105 - 22 = 426630101 is a prime.

It is a super-2 number, since 2×4266301052 = 364026492984622050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (426630101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27910 + ... + 40400.

It is an arithmetic number, because the mean of its divisors is an integer number (13491360).

Almost surely, 2426630105 is an apocalyptic number.

426630105 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

426630105 is an abundant number, since it is smaller than the sum of its proper divisors (436816935).

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

426630105 is a wasteful number, since it uses less digits than its factorization.

426630105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12539 (or 12533 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 426630105 is about 20655.0261437743. The cubic root of 426630105 is about 752.8073188371.

Adding to 426630105 its reverse (501036624), we get a palindrome (927666729).

The spelling of 426630105 in words is "four hundred twenty-six million, six hundred thirty thousand, one hundred five".

Divisors: 1 3 5 9 11 15 23 27 33 45 55 69 99 115 135 165 207 253 297 345 495 621 759 1035 1265 1485 2277 3105 3795 6831 11385 12491 34155 37473 62455 112419 137401 187365 287293 337257 412203 562095 687005 861879 1236609 1436465 1686285 2061015 2585637 3160223 3709827 4309395 6183045 7756911 9480669 12928185 15801115 18549135 28442007 38784555 47403345 85326021 142210035 426630105