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14130312 = 2337241349
BaseRepresentation
bin110101111001…
…110010001000
3222120220010220
4311321302020
512104132222
61222510040
7231051150
oct65716210
928526126
1014130312
117a81349
124895320
132c09841
141c3b760
151391b5c
hexd79c88

14130312 has 64 divisors (see below), whose sum is σ = 40656000. Its totient is φ = 4008960.

The previous prime is 14130299. The next prime is 14130331. The reversal of 14130312 is 21303141.

14130312 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 junction number, because it is equal to n+sod(n) for n = 14130291 and 14130300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40314 + ... + 40662.

It is an arithmetic number, because the mean of its divisors is an integer number (635250).

Almost surely, 214130312 is an apocalyptic number.

14130312 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 14130312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20328000).

14130312 is an abundant number, since it is smaller than the sum of its proper divisors (26525688).

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

14130312 is a wasteful number, since it uses less digits than its factorization.

14130312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 606 (or 602 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 14130312 is about 3759.0307261314. The cubic root of 14130312 is about 241.7597050145.

Adding to 14130312 its reverse (21303141), we get a palindrome (35433453).

The spelling of 14130312 in words is "fourteen million, one hundred thirty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 241 349 482 698 723 964 1047 1396 1446 1687 1928 2094 2443 2792 2892 3374 4188 4886 5061 5784 6748 7329 8376 9772 10122 13496 14658 19544 20244 29316 40488 58632 84109 168218 252327 336436 504654 588763 672872 1009308 1177526 1766289 2018616 2355052 3532578 4710104 7065156 14130312