Search a number
-
+
14368020 = 2235435569
BaseRepresentation
bin110110110011…
…110100010100
31000000222012220
4312303310110
512134234040
61231542340
7233061162
oct66636424
930028186
1014368020
1181239a7
12498a9b0
132c90ab4
141ca0232
1513dc2d0
hexdb3d14

14368020 has 48 divisors (see below), whose sum is σ = 41173440. Its totient is φ = 3741696.

The previous prime is 14368007. The next prime is 14368027. The reversal of 14368020 is 2086341.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14368027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 205 + ... + 5364.

It is an arithmetic number, because the mean of its divisors is an integer number (857780).

Almost surely, 214368020 is an apocalyptic number.

14368020 is a gapful number since it is divisible by the number (10) 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 14368020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20586720).

14368020 is an abundant number, since it is smaller than the sum of its proper divisors (26805420).

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

14368020 is a wasteful number, since it uses less digits than its factorization.

14368020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5624 (or 5622 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 14368020 is about 3790.5171151177. The cubic root of 14368020 is about 243.1078455745.

The spelling of 14368020 in words is "fourteen million, three hundred sixty-eight thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 43 60 86 129 172 215 258 430 516 645 860 1290 2580 5569 11138 16707 22276 27845 33414 55690 66828 83535 111380 167070 239467 334140 478934 718401 957868 1197335 1436802 2394670 2873604 3592005 4789340 7184010 14368020