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14284500 = 2235389107
BaseRepresentation
bin110110011111…
…011011010100
3222212201122120
4312133123110
512124101000
61230055540
7232262526
oct66373324
928781576
1014284500
11807717a
12494a5b0
132c61a89
141c7ba16
1513c26a0
hexd9f6d4

14284500 has 96 divisors (see below), whose sum is σ = 42456960. Its totient is φ = 3731200.

The previous prime is 14284493. The next prime is 14284519. The reversal of 14284500 is 548241.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 133447 + ... + 133553.

It is an arithmetic number, because the mean of its divisors is an integer number (442260).

Almost surely, 214284500 is an apocalyptic number.

14284500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14284500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21228480).

14284500 is an abundant number, since it is smaller than the sum of its proper divisors (28172460).

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

14284500 is a wasteful number, since it uses less digits than its factorization.

14284500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 14284500 is about 3779.4840917776. The cubic root of 14284500 is about 242.6358752475.

The spelling of 14284500 in words is "fourteen million, two hundred eighty-four thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 89 100 107 125 150 178 214 250 267 300 321 356 375 428 445 500 534 535 642 750 890 1068 1070 1284 1335 1500 1605 1780 2140 2225 2670 2675 3210 4450 5340 5350 6420 6675 8025 8900 9523 10700 11125 13350 13375 16050 19046 22250 26700 26750 28569 32100 33375 38092 40125 44500 47615 53500 57138 66750 80250 95230 114276 133500 142845 160500 190460 238075 285690 476150 571380 714225 952300 1190375 1428450 2380750 2856900 3571125 4761500 7142250 14284500