[go: up one dir, main page]

Search a number
-
+
14229072 = 24321113691
BaseRepresentation
bin110110010001…
…111001010000
3222202220121200
4312101321100
512120312242
61224551200
7231642114
oct66217120
928686550
1014229072
118039570
124922500
132c42790
141c65744
1513b104c
hexd91e50

14229072 has 120 divisors (see below), whose sum is σ = 46851168. Its totient is φ = 3974400.

The previous prime is 14229049. The next prime is 14229107. The reversal of 14229072 is 27092241.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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 23 ways as a sum of consecutive naturals, for example, 20247 + ... + 20937.

Almost surely, 214229072 is an apocalyptic number.

14229072 is a gapful number since it is divisible by the number (12) 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 14229072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23425584).

14229072 is an abundant number, since it is smaller than the sum of its proper divisors (32622096).

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

14229072 is a wasteful number, since it uses less digits than its factorization.

14229072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 729 (or 720 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 14229072 is about 3772.1442178156. The cubic root of 14229072 is about 242.3216359439.

The spelling of 14229072 in words is "fourteen million, two hundred twenty-nine thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 33 36 39 44 48 52 66 72 78 88 99 104 117 132 143 144 156 176 198 208 234 264 286 312 396 429 468 528 572 624 691 792 858 936 1144 1287 1382 1584 1716 1872 2073 2288 2574 2764 3432 4146 5148 5528 6219 6864 7601 8292 8983 10296 11056 12438 15202 16584 17966 20592 22803 24876 26949 30404 33168 35932 45606 49752 53898 60808 68409 71864 80847 91212 98813 99504 107796 121616 136818 143728 161694 182424 197626 215592 273636 296439 323388 364848 395252 431184 547272 592878 646776 790504 889317 1094544 1185756 1293552 1581008 1778634 2371512 3557268 4743024 7114536 14229072