Search a number
-
+
14381220 = 2235797353
BaseRepresentation
bin110110110111…
…000010100100
31000001122022210
4312313002210
512140144340
61232123420
7233144520
oct66670244
930048283
1014381220
118132907
124996570
132c96ac9
141ca4d80
1513e1180
hexdb70a4

14381220 has 96 divisors (see below), whose sum is σ = 46626048. Its totient is φ = 3244032.

The previous prime is 14381207. The next prime is 14381249. The reversal of 14381220 is 2218341.

14381220 is digitally balanced in base 2 and base 4, because in such bases 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 (21).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40564 + ... + 40916.

It is an arithmetic number, because the mean of its divisors is an integer number (485688).

Almost surely, 214381220 is an apocalyptic number.

14381220 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 14381220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23313024).

14381220 is an abundant number, since it is smaller than the sum of its proper divisors (32244828).

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

14381220 is a wasteful number, since it uses less digits than its factorization.

14381220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 14381220 is about 3792.2579026221. The cubic root of 14381220 is about 243.1822710775.

Adding to 14381220 its reverse (2218341), we get a palindrome (16599561).

The spelling of 14381220 in words is "fourteen million, three hundred eighty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 97 105 140 194 210 291 353 388 420 485 582 679 706 970 1059 1164 1358 1412 1455 1765 1940 2037 2118 2471 2716 2910 3395 3530 4074 4236 4942 5295 5820 6790 7060 7413 8148 9884 10185 10590 12355 13580 14826 20370 21180 24710 29652 34241 37065 40740 49420 68482 74130 102723 136964 148260 171205 205446 239687 342410 410892 479374 513615 684820 719061 958748 1027230 1198435 1438122 2054460 2396870 2876244 3595305 4793740 7190610 14381220