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14838705 = 3257172163
BaseRepresentation
bin111000100110…
…101110110001
31000220212212200
4320212232301
512244314310
61250013413
7240061350
oct70465661
930825780
1014838705
1184155a2
124b77269
1330c70cb
141d83997
1514819c0
hexe26bb1

14838705 has 72 divisors (see below), whose sum is σ = 31417152. Its totient is φ = 6345216.

The previous prime is 14838701. The next prime is 14838713. The reversal of 14838705 is 50783841.

It is not a de Polignac number, because 14838705 - 22 = 14838701 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 14838705.

It is not an unprimeable number, because it can be changed into a prime (14838701) 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 71 ways as a sum of consecutive naturals, for example, 90954 + ... + 91116.

Almost surely, 214838705 is an apocalyptic number.

14838705 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

14838705 is an abundant number, since it is smaller than the sum of its proper divisors (16578447).

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

14838705 is a wasteful number, since it uses less digits than its factorization.

14838705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 14838705 is about 3852.1039705595. The cubic root of 14838705 is about 245.7340473013.

The spelling of 14838705 in words is "fourteen million, eight hundred thirty-eight thousand, seven hundred five".

Divisors: 1 3 5 7 9 15 17 21 35 45 51 63 85 105 119 153 163 255 289 315 357 489 595 765 815 867 1071 1141 1445 1467 1785 2023 2445 2601 2771 3423 4335 5355 5705 6069 7335 8313 10115 10269 13005 13855 17115 18207 19397 24939 30345 41565 47107 51345 58191 91035 96985 124695 141321 174573 235535 290955 329749 423963 706605 872865 989247 1648745 2119815 2967741 4946235 14838705