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14659134 = 237317419
BaseRepresentation
bin110111111010…
…111000111110
31000120202112220
4313322320332
512223043014
61242110210
7235413000
oct67727076
930522486
1014659134
118302696
124aab366
133063459
141d38370
1514486a9
hexdfae3e

14659134 has 64 divisors (see below), whose sum is σ = 36288000. Its totient is φ = 3932544.

The previous prime is 14659133. The next prime is 14659171. The reversal of 14659134 is 43195641.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 14659095 and 14659104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14659133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34777 + ... + 35195.

It is an arithmetic number, because the mean of its divisors is an integer number (567000).

Almost surely, 214659134 is an apocalyptic number.

14659134 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14659134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18144000).

14659134 is an abundant number, since it is smaller than the sum of its proper divisors (21628866).

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

14659134 is a wasteful number, since it uses less digits than its factorization.

14659134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 448 counting only the distinct ones).

The product of its digits is 12960, while the sum is 33.

The square root of 14659134 is about 3828.7248530026. The cubic root of 14659134 is about 244.7387691811.

The spelling of 14659134 in words is "fourteen million, six hundred fifty-nine thousand, one hundred thirty-four".

Divisors: 1 2 3 6 7 14 17 21 34 42 49 51 98 102 119 147 238 294 343 357 419 686 714 833 838 1029 1257 1666 2058 2499 2514 2933 4998 5831 5866 7123 8799 11662 14246 17493 17598 20531 21369 34986 41062 42738 49861 61593 99722 123186 143717 149583 287434 299166 349027 431151 698054 862302 1047081 2094162 2443189 4886378 7329567 14659134