Search a number
-
+
14006300 = 225271117107
BaseRepresentation
bin110101011011…
…100000011100
3222100121000212
4311123200130
512041200200
61220111552
7230023460
oct65334034
928317025
1014006300
1179a7160
1248355b8
132b95269
141c084a0
15136a035
hexd5b81c

14006300 has 144 divisors (see below), whose sum is σ = 40497408. Its totient is φ = 4070400.

The previous prime is 14006299. The next prime is 14006309. The reversal of 14006300 is 360041.

14006300 = T120 + T121 + ... + T440.

14006300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (14).

14006300 is a modest number, since divided by 6300 gives 1400 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14006309) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 130847 + ... + 130953.

It is an arithmetic number, because the mean of its divisors is an integer number (281232).

Almost surely, 214006300 is an apocalyptic number.

14006300 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 14006300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20248704).

14006300 is an abundant number, since it is smaller than the sum of its proper divisors (26491108).

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

14006300 is a wasteful number, since it uses less digits than its factorization.

14006300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 14006300 is about 3742.4991649966. The cubic root of 14006300 is about 241.0503731300.

Adding to 14006300 its reverse (360041), we get a palindrome (14366341).

The spelling of 14006300 in words is "fourteen million, six thousand, three hundred".

Divisors: 1 2 4 5 7 10 11 14 17 20 22 25 28 34 35 44 50 55 68 70 77 85 100 107 110 119 140 154 170 175 187 214 220 238 275 308 340 350 374 385 425 428 476 535 550 595 700 748 749 770 850 935 1070 1100 1177 1190 1309 1498 1540 1700 1819 1870 1925 2140 2354 2380 2618 2675 2975 2996 3638 3740 3745 3850 4675 4708 5236 5350 5885 5950 6545 7276 7490 7700 8239 9095 9350 10700 11770 11900 12733 13090 14980 16478 18190 18700 18725 20009 23540 25466 26180 29425 32725 32956 36380 37450 40018 41195 45475 50932 58850 63665 65450 74900 80036 82390 90950 100045 117700 127330 130900 140063 164780 181900 200090 205975 254660 280126 318325 400180 411950 500225 560252 636650 700315 823900 1000450 1273300 1400630 2000900 2801260 3501575 7003150 14006300