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14457105 = 3251321901
BaseRepresentation
bin110111001001…
…100100010001
31000012111102100
4313021210101
512200111410
61233511013
7233611665
oct67114421
930174370
1014457105
118184923
124a12469
132cc2500
141cc48a5
1514088c0
hexdc9911

14457105 has 36 divisors (see below), whose sum is σ = 27149148. Its totient is φ = 7113600.

The previous prime is 14457077. The next prime is 14457137. The reversal of 14457105 is 50175441.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 6110784 + 8346321 = 2472^2 + 2889^2 .

It is not a de Polignac number, because 14457105 - 210 = 14456081 is a prime.

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6655 + ... + 8555.

It is an arithmetic number, because the mean of its divisors is an integer number (754143).

Almost surely, 214457105 is an apocalyptic number.

14457105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

14457105 is a deficient number, since it is larger than the sum of its proper divisors (12692043).

14457105 is a wasteful number, since it uses less digits than its factorization.

14457105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1938 (or 1922 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 14457105 is about 3802.2499917812. The cubic root of 14457105 is about 243.6092520773.

The spelling of 14457105 in words is "fourteen million, four hundred fifty-seven thousand, one hundred five".

Divisors: 1 3 5 9 13 15 39 45 65 117 169 195 507 585 845 1521 1901 2535 5703 7605 9505 17109 24713 28515 74139 85545 123565 222417 321269 370695 963807 1112085 1606345 2891421 4819035 14457105