Search a number
-
+
14427168 = 253723067
BaseRepresentation
bin110111000010…
…010000100000
31000010222100120
4313002100200
512143132133
61233120240
7233425500
oct67022040
930128316
1014427168
118164388
1249b9080
132cb19b2
141cb7a00
1513eeab3
hexdc2420

14427168 has 72 divisors (see below), whose sum is σ = 44068752. Its totient is φ = 4120704.

The previous prime is 14427163. The next prime is 14427173. The reversal of 14427168 is 86172441.

It is an interprime number because it is at equal distance from previous prime (14427163) and next prime (14427173).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (14427163) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3171 + ... + 6237.

It is an arithmetic number, because the mean of its divisors is an integer number (612066).

Almost surely, 214427168 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 14427168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22034376).

14427168 is an abundant number, since it is smaller than the sum of its proper divisors (29641584).

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

14427168 is a wasteful number, since it uses less digits than its factorization.

14427168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3094 (or 3079 counting only the distinct ones).

The product of its digits is 10752, while the sum is 33.

The square root of 14427168 is about 3798.3112036799. The cubic root of 14427168 is about 243.4409848731.

The spelling of 14427168 in words is "fourteen million, four hundred twenty-seven thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 147 168 196 224 294 336 392 588 672 784 1176 1568 2352 3067 4704 6134 9201 12268 18402 21469 24536 36804 42938 49072 64407 73608 85876 98144 128814 147216 150283 171752 257628 294432 300566 343504 450849 515256 601132 687008 901698 1030512 1202264 1803396 2061024 2404528 3606792 4809056 7213584 14427168