Search a number
-
+
14218920 = 23325127311
BaseRepresentation
bin110110001111…
…011010101000
3222202101200200
4312033122220
512120001140
61224432200
7231600402
oct66173250
928671620
1014218920
118031981
124918660
132c3ac81
141c61b72
1513ad030
hexd8f6a8

14218920 has 96 divisors (see below), whose sum is σ = 46725120. Its totient is φ = 3749760.

The previous prime is 14218891. The next prime is 14218927. The reversal of 14218920 is 2981241.

It is not an unprimeable number, because it can be changed into a prime (14218927) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 45565 + ... + 45875.

It is an arithmetic number, because the mean of its divisors is an integer number (486720).

Almost surely, 214218920 is an apocalyptic number.

14218920 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 14218920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23362560).

14218920 is an abundant number, since it is smaller than the sum of its proper divisors (32506200).

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

14218920 is a wasteful number, since it uses less digits than its factorization.

14218920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 14218920 is about 3770.7983239627. The cubic root of 14218920 is about 242.2639925845.

The spelling of 14218920 in words is "fourteen million, two hundred eighteen thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 127 180 254 311 360 381 508 622 635 762 933 1016 1143 1244 1270 1524 1555 1866 1905 2286 2488 2540 2799 3048 3110 3732 3810 4572 4665 5080 5598 5715 6220 7464 7620 9144 9330 11196 11430 12440 13995 15240 18660 22392 22860 27990 37320 39497 45720 55980 78994 111960 118491 157988 197485 236982 315976 355473 394970 473964 592455 710946 789940 947928 1184910 1421892 1579880 1777365 2369820 2843784 3554730 4739640 7109460 14218920