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14282500 = 225429197
BaseRepresentation
bin110110011110…
…111100000100
3222212121220111
4312132330010
512124020000
61230042404
7232253641
oct66367404
928777814
1014282500
118075721
124949404
132c60bab
141c7adc8
1513c1cba
hexd9ef04

14282500 has 60 divisors (see below), whose sum is σ = 32473980. Its totient is φ = 5488000.

The previous prime is 14282497. The next prime is 14282519. The reversal of 14282500 is 528241.

It can be written as a sum of positive squares in 10 ways, for example, as 6431296 + 7851204 = 2536^2 + 2802^2 .

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 19 ways as a sum of consecutive naturals, for example, 72402 + ... + 72598.

It is an arithmetic number, because the mean of its divisors is an integer number (541233).

Almost surely, 214282500 is an apocalyptic number.

14282500 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 14282500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16236990).

14282500 is an abundant number, since it is smaller than the sum of its proper divisors (18191480).

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

14282500 is a wasteful number, since it uses less digits than its factorization.

14282500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

The square root of 14282500 is about 3779.2194961394. The cubic root of 14282500 is about 242.6245507489.

The spelling of 14282500 in words is "fourteen million, two hundred eighty-two thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 125 145 197 250 290 394 500 580 625 725 788 985 1250 1450 1970 2500 2900 3625 3940 4925 5713 7250 9850 11426 14500 18125 19700 22852 24625 28565 36250 49250 57130 72500 98500 114260 123125 142825 246250 285650 492500 571300 714125 1428250 2856500 3570625 7141250 14282500