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14242305 = 3571121959
BaseRepresentation
bin110110010101…
…001000000001
3222210120202210
4312111020001
512121223210
61225132333
7232025520
oct66251001
928716683
1014242305
118048500
12492a0a9
132c487cc
141c6a4b7
1513b4e20
hexd95201

14242305 has 96 divisors (see below), whose sum is σ = 30643200. Its totient is φ = 5512320.

The previous prime is 14242303. The next prime is 14242307. The reversal of 14242305 is 50324241.

It is an interprime number because it is at equal distance from previous prime (14242303) and next prime (14242307).

It is not a de Polignac number, because 14242305 - 21 = 14242303 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14242303) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 241366 + ... + 241424.

It is an arithmetic number, because the mean of its divisors is an integer number (319200).

Almost surely, 214242305 is an apocalyptic number.

14242305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

14242305 is an abundant number, since it is smaller than the sum of its proper divisors (16400895).

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

14242305 is a wasteful number, since it uses less digits than its factorization.

14242305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 14242305 is about 3773.8978523537. The cubic root of 14242305 is about 242.3967321663.

Adding to 14242305 its reverse (50324241), we get a palindrome (64566546).

The spelling of 14242305 in words is "fourteen million, two hundred forty-two thousand, three hundred five".

Divisors: 1 3 5 7 11 15 19 21 33 35 55 57 59 77 95 105 121 133 165 177 209 231 285 295 363 385 399 413 605 627 649 665 847 885 1045 1121 1155 1239 1463 1815 1947 1995 2065 2299 2541 3135 3245 3363 4235 4389 4543 5605 6195 6897 7139 7315 7847 9735 11495 12331 12705 13629 16093 16815 21417 21945 22715 23541 34485 35695 36993 39235 48279 49973 61655 68145 80465 86317 107085 117705 135641 149919 184965 241395 249865 258951 406923 431585 678205 749595 949487 1294755 2034615 2848461 4747435 14242305