Search a number
-
+
14058384 = 2431092687
BaseRepresentation
bin110101101000…
…001110010000
3222110020110220
4311220032100
512044332014
61221153040
7230331354
oct65501620
928406426
1014058384
117a322aa
12485b780
132bb2b92
141c1d464
15137a6a9
hexd68390

14058384 has 40 divisors (see below), whose sum is σ = 36664320. Its totient is φ = 4641408.

The previous prime is 14058379. The next prime is 14058389. The reversal of 14058384 is 48385041.

It is an interprime number because it is at equal distance from previous prime (14058379) and next prime (14058389).

It is not an unprimeable number, because it can be changed into a prime (14058389) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3889 + ... + 6575.

It is an arithmetic number, because the mean of its divisors is an integer number (916608).

Almost surely, 214058384 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 14058384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18332160).

14058384 is an abundant number, since it is smaller than the sum of its proper divisors (22605936).

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

14058384 is a wasteful number, since it uses less digits than its factorization.

14058384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2807 (or 2801 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 14058384 is about 3749.4511598366. The cubic root of 14058384 is about 241.3487944946.

The spelling of 14058384 in words is "fourteen million, fifty-eight thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 109 218 327 436 654 872 1308 1744 2616 2687 5232 5374 8061 10748 16122 21496 32244 42992 64488 128976 292883 585766 878649 1171532 1757298 2343064 3514596 4686128 7029192 14058384