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14210000 = 24547229
BaseRepresentation
bin110110001101…
…001111010000
3222201221110022
4312031033100
512114210000
61224323012
7231532400
oct66151720
928657408
1014210000
118026202
124913468
132c36bac
141c5c800
1513aa585
hexd8d3d0

14210000 has 150 divisors (see below), whose sum is σ = 41400810. Its totient is φ = 4704000.

The previous prime is 14209999. The next prime is 14210039. The reversal of 14210000 is 1241.

14210000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 5 ways, for example, as 5400976 + 8809024 = 2324^2 + 2968^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 14210000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 489986 + ... + 490014.

Almost surely, 214210000 is an apocalyptic number.

14210000 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 14210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20700405).

14210000 is an abundant number, since it is smaller than the sum of its proper divisors (27190810).

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

14210000 is an equidigital number, since it uses as much as digits as its factorization.

14210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 14210000 is about 3769.6153649942. The cubic root of 14210000 is about 242.2133219086.

Adding to 14210000 its reverse (1241), we get a palindrome (14211241).

The spelling of 14210000 in words is "fourteen million, two hundred ten thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 29 35 40 49 50 56 58 70 80 98 100 112 116 125 140 145 175 196 200 203 232 245 250 280 290 350 392 400 406 464 490 500 560 580 625 700 725 784 812 875 980 1000 1015 1160 1225 1250 1400 1421 1450 1624 1750 1960 2000 2030 2320 2450 2500 2800 2842 2900 3248 3500 3625 3920 4060 4375 4900 5000 5075 5684 5800 6125 7000 7105 7250 8120 8750 9800 10000 10150 11368 11600 12250 14000 14210 14500 16240 17500 18125 19600 20300 22736 24500 25375 28420 29000 30625 35000 35525 36250 40600 49000 50750 56840 58000 61250 70000 71050 72500 81200 98000 101500 113680 122500 126875 142100 145000 177625 203000 245000 253750 284200 290000 355250 406000 490000 507500 568400 710500 888125 1015000 1421000 1776250 2030000 2842000 3552500 7105000 14210000