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14532705 = 32511217157
BaseRepresentation
bin110111011100…
…000001100001
31000100100010100
4313130001201
512210021310
61235253013
7234345255
oct67340141
930310110
1014532705
118226700
124a4a169
13301aa45
141d04265
151420ec0
hexddc061

14532705 has 72 divisors (see below), whose sum is σ = 29503656. Its totient is φ = 6589440.

The previous prime is 14532697. The next prime is 14532731. The reversal of 14532705 is 50723541.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1830609 + 12702096 = 1353^2 + 3564^2 .

It is not a de Polignac number, because 14532705 - 23 = 14532697 is a prime.

It is a super-2 number, since 2×145327052 = 422399029234050, which contains 22 as substring.

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 92487 + ... + 92643.

It is an arithmetic number, because the mean of its divisors is an integer number (409773).

Almost surely, 214532705 is an apocalyptic number.

14532705 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

14532705 is an abundant number, since it is smaller than the sum of its proper divisors (14970951).

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

14532705 is a wasteful number, since it uses less digits than its factorization.

14532705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 14532705 is about 3812.1785110354. The cubic root of 14532705 is about 244.0331463077.

The spelling of 14532705 in words is "fourteen million, five hundred thirty-two thousand, seven hundred five".

Divisors: 1 3 5 9 11 15 17 33 45 51 55 85 99 121 153 157 165 187 255 363 471 495 561 605 765 785 935 1089 1413 1683 1727 1815 2057 2355 2669 2805 5181 5445 6171 7065 8007 8415 8635 10285 13345 15543 18513 18997 24021 25905 29359 30855 40035 56991 77715 88077 92565 94985 120105 146795 170973 264231 284955 322949 440385 854865 968847 1321155 1614745 2906541 4844235 14532705