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14130424 = 23721129113
BaseRepresentation
bin110101111001…
…110011111000
3222120220022001
4311321303320
512104133144
61222510344
7231051400
oct65716370
928526261
1014130424
117a81440
1248953b4
132c098c9
141c3b800
151391bd4
hexd79cf8

14130424 has 96 divisors (see below), whose sum is σ = 35089200. Its totient is φ = 5268480.

The previous prime is 14130377. The next prime is 14130427. The reversal of 14130424 is 42403141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14130427) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 124992 + ... + 125104.

Almost surely, 214130424 is an apocalyptic number.

14130424 is a gapful number since it is divisible by the number (14) 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 14130424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17544600).

14130424 is an abundant number, since it is smaller than the sum of its proper divisors (20958776).

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

14130424 is a wasteful number, since it uses less digits than its factorization.

14130424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 14130424 is about 3759.0456235593. The cubic root of 14130424 is about 241.7603437599.

Adding to 14130424 its reverse (42403141), we get a palindrome (56533565).

The spelling of 14130424 in words is "fourteen million, one hundred thirty thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 11 14 22 28 29 44 49 56 58 77 88 98 113 116 154 196 203 226 232 308 319 392 406 452 539 616 638 791 812 904 1078 1243 1276 1421 1582 1624 2156 2233 2486 2552 2842 3164 3277 4312 4466 4972 5537 5684 6328 6554 8701 8932 9944 11074 11368 13108 15631 17402 17864 22148 22939 26216 31262 34804 36047 44296 45878 60907 62524 69608 72094 91756 121814 125048 144188 160573 183512 243628 252329 288376 321146 487256 504658 642292 1009316 1284584 1766303 2018632 3532606 7065212 14130424