Search a number
-
+
14124330 = 23251121297
BaseRepresentation
bin110101111000…
…010100101010
3222120120221100
4311320110222
512103434310
61222422230
7231024543
oct65702452
928516840
1014124330
117a77900
124891976
132c06bbc
141c394ca
15138eec0
hexd7852a

14124330 has 72 divisors (see below), whose sum is σ = 40396356. Its totient is φ = 3421440.

The previous prime is 14124311. The next prime is 14124349. The reversal of 14124330 is 3342141.

14124330 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (14124311) and next prime (14124349).

It can be written as a sum of positive squares in 2 ways, for example, as 12938409 + 1185921 = 3597^2 + 1089^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10242 + ... + 11538.

Almost surely, 214124330 is an apocalyptic number.

14124330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14124330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20198178).

14124330 is an abundant number, since it is smaller than the sum of its proper divisors (26272026).

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

14124330 is a wasteful number, since it uses less digits than its factorization.

14124330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1332 (or 1318 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 14124330 is about 3758.2349580621. The cubic root of 14124330 is about 241.7255842609.

Adding to 14124330 its reverse (3342141), we get a palindrome (17466471).

The spelling of 14124330 in words is "fourteen million, one hundred twenty-four thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 121 165 198 242 330 363 495 605 726 990 1089 1210 1297 1815 2178 2594 3630 3891 5445 6485 7782 10890 11673 12970 14267 19455 23346 28534 38910 42801 58365 71335 85602 116730 128403 142670 156937 214005 256806 313874 428010 470811 642015 784685 941622 1284030 1412433 1569370 2354055 2824866 4708110 7062165 14124330