Search a number
-
+
14423520 = 2535151199
BaseRepresentation
bin110111000001…
…010111100000
31000010210100110
4313001113200
512143023040
61233051320
7233412036
oct67012740
930123313
1014423520
118161671
1249b6b40
132cb0137
141cb6556
1513ed980
hexdc15e0

14423520 has 96 divisors (see below), whose sum is σ = 45964800. Its totient is φ = 3801600.

The previous prime is 14423509. The next prime is 14423557. The reversal of 14423520 is 2532441.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72381 + ... + 72579.

It is an arithmetic number, because the mean of its divisors is an integer number (478800).

Almost surely, 214423520 is an apocalyptic number.

14423520 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 14423520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22982400).

14423520 is an abundant number, since it is smaller than the sum of its proper divisors (31541280).

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

14423520 is a wasteful number, since it uses less digits than its factorization.

14423520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 14423520 is about 3797.8309599033. The cubic root of 14423520 is about 243.4204646164.

Adding to 14423520 its reverse (2532441), we get a palindrome (16955961).

The spelling of 14423520 in words is "fourteen million, four hundred twenty-three thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 151 160 199 240 302 398 453 480 597 604 755 796 906 995 1194 1208 1510 1592 1812 1990 2265 2388 2416 2985 3020 3184 3624 3980 4530 4776 4832 5970 6040 6368 7248 7960 9060 9552 11940 12080 14496 15920 18120 19104 23880 24160 30049 31840 36240 47760 60098 72480 90147 95520 120196 150245 180294 240392 300490 360588 450735 480784 600980 721176 901470 961568 1201960 1442352 1802940 2403920 2884704 3605880 4807840 7211760 14423520