Search a number
-
+
14326000 = 2453131929
BaseRepresentation
bin110110101001…
…100011110000
3222221211120121
4312221203300
512131413000
61231020024
7232524523
oct66514360
928854517
1014326000
1180a5377
12496a614
132c77930
141c8cbba
1513ceb1a
hexda98f0

14326000 has 160 divisors (see below), whose sum is σ = 40622400. Its totient is φ = 4838400.

The previous prime is 14325991. The next prime is 14326003. The reversal of 14326000 is 62341.

14326000 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 (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14326003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 493986 + ... + 494014.

It is an arithmetic number, because the mean of its divisors is an integer number (253890).

Almost surely, 214326000 is an apocalyptic number.

14326000 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 14326000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20311200).

14326000 is an abundant number, since it is smaller than the sum of its proper divisors (26296400).

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

14326000 is a wasteful number, since it uses less digits than its factorization.

14326000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 14326000 is about 3784.9702772941. The cubic root of 14326000 is about 242.8706204417.

Adding to 14326000 its reverse (62341), we get a palindrome (14388341).

The spelling of 14326000 in words is "fourteen million, three hundred twenty-six thousand".

Divisors: 1 2 4 5 8 10 13 16 19 20 25 26 29 38 40 50 52 58 65 76 80 95 100 104 116 125 130 145 152 190 200 208 232 247 250 260 290 304 325 377 380 400 464 475 494 500 520 551 580 650 725 754 760 950 988 1000 1040 1102 1160 1235 1300 1450 1508 1520 1625 1885 1900 1976 2000 2204 2320 2375 2470 2600 2755 2900 3016 3250 3625 3770 3800 3952 4408 4750 4940 5200 5510 5800 6032 6175 6500 7163 7250 7540 7600 8816 9425 9500 9880 11020 11600 12350 13000 13775 14326 14500 15080 18850 19000 19760 22040 24700 26000 27550 28652 29000 30160 30875 35815 37700 38000 44080 47125 49400 55100 57304 58000 61750 68875 71630 75400 94250 98800 110200 114608 123500 137750 143260 150800 179075 188500 220400 247000 275500 286520 358150 377000 494000 551000 573040 716300 754000 895375 1102000 1432600 1790750 2865200 3581500 7163000 14326000