Search a number
-
+
14380146 = 2331143563
BaseRepresentation
bin110110110110…
…110001110010
31000001120212000
4312312301302
512140131041
61232114430
7233141424
oct66666162
930046760
1014380146
118132020
124995a16
132c96481
141ca4814
1513e0bb6
hexdb6c72

14380146 has 64 divisors (see below), whose sum is σ = 35735040. Its totient is φ = 4248720.

The previous prime is 14380141. The next prime is 14380151. The reversal of 14380146 is 64108341.

It is an interprime number because it is at equal distance from previous prime (14380141) and next prime (14380151).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (14380141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25261 + ... + 25823.

It is an arithmetic number, because the mean of its divisors is an integer number (558360).

Almost surely, 214380146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14380146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17867520).

14380146 is an abundant number, since it is smaller than the sum of its proper divisors (21354894).

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

14380146 is a wasteful number, since it uses less digits than its factorization.

14380146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 628 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 14380146 is about 3792.1162956850. The cubic root of 14380146 is about 243.1762172503.

Adding to 14380146 its reverse (64108341), we get a palindrome (78488487).

The spelling of 14380146 in words is "fourteen million, three hundred eighty thousand, one hundred forty-six".

Divisors: 1 2 3 6 9 11 18 22 27 33 43 54 66 86 99 129 198 258 297 387 473 563 594 774 946 1126 1161 1419 1689 2322 2838 3378 4257 5067 6193 8514 10134 12386 12771 15201 18579 24209 25542 30402 37158 48418 55737 72627 111474 145254 167211 217881 266299 334422 435762 532598 653643 798897 1307286 1597794 2396691 4793382 7190073 14380146