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14125368 = 2331789389
BaseRepresentation
bin110101111000…
…100100111000
3222120122100210
4311320210320
512104002433
61222431120
7231030555
oct65704470
928518323
1014125368
117a78664
1248924a0
132c0750a
141c39a2c
151390463
hexd78938

14125368 has 64 divisors (see below), whose sum is σ = 37908000. Its totient is φ = 4370432.

The previous prime is 14125357. The next prime is 14125369. The reversal of 14125368 is 86352141.

14125368 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 super-2 number, since 2×141253682 = 399052042270848, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14125369) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36118 + ... + 36506.

Almost surely, 214125368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14125368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18954000).

14125368 is an abundant number, since it is smaller than the sum of its proper divisors (23782632).

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

14125368 is a wasteful number, since it uses less digits than its factorization.

14125368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504 (or 500 counting only the distinct ones).

The product of its digits is 5760, while the sum is 30.

The square root of 14125368 is about 3758.3730522661. The cubic root of 14125368 is about 241.7315056039.

The spelling of 14125368 in words is "fourteen million, one hundred twenty-five thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 89 102 136 178 204 267 356 389 408 534 712 778 1068 1167 1513 1556 2136 2334 3026 3112 4539 4668 6052 6613 9078 9336 12104 13226 18156 19839 26452 34621 36312 39678 52904 69242 79356 103863 138484 158712 207726 276968 415452 588557 830904 1177114 1765671 2354228 3531342 4708456 7062684 14125368