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14405985 = 3351189109
BaseRepresentation
bin110110111101…
…000101100001
31000002220022000
4312331011201
512141442420
61232434213
7233306646
oct66750541
930086260
1014405985
11814a480
1249a8969
132ca5169
141caddcd
1513e8690
hexdbd161

14405985 has 64 divisors (see below), whose sum is σ = 28512000. Its totient is φ = 6842880.

The previous prime is 14405977. The next prime is 14405999. The reversal of 14405985 is 58950441.

It is not a de Polignac number, because 14405985 - 23 = 14405977 is a prime.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 132111 + ... + 132219.

It is an arithmetic number, because the mean of its divisors is an integer number (445500).

Almost surely, 214405985 is an apocalyptic number.

14405985 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

14405985 is a deficient number, since it is larger than the sum of its proper divisors (14106015).

14405985 is a wasteful number, since it uses less digits than its factorization.

14405985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 14405985 is about 3795.5217032708. The cubic root of 14405985 is about 243.3217806905.

The spelling of 14405985 in words is "fourteen million, four hundred five thousand, nine hundred eighty-five".

Divisors: 1 3 5 9 11 15 27 33 45 55 89 99 109 135 165 267 297 327 445 495 545 801 979 981 1199 1335 1485 1635 2403 2937 2943 3597 4005 4895 4905 5995 8811 9701 10791 12015 14685 14715 17985 26433 29103 32373 44055 48505 53955 87309 106711 132165 145515 161865 261927 320133 436545 533555 960399 1309635 1600665 2881197 4801995 14405985