Search a number
-
+
14362152 = 2337531613
BaseRepresentation
bin110110110010…
…011000101000
31000000200011120
4312302120220
512134042102
61231455240
7233035110
oct66623050
930020146
1014362152
11811a552
124987520
132c8b21c
141c9c040
1513da6bc
hexdb2628

14362152 has 64 divisors (see below), whose sum is σ = 41834880. Its totient is φ = 4023552.

The previous prime is 14362151. The next prime is 14362171. The reversal of 14362152 is 25126341.

It is a super-2 number, since 2×143621522 = 412542820142208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (14362151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8098 + ... + 9710.

It is an arithmetic number, because the mean of its divisors is an integer number (653670).

Almost surely, 214362152 is an apocalyptic number.

14362152 is a gapful number since it is divisible by the number (12) 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 14362152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20917440).

14362152 is an abundant number, since it is smaller than the sum of its proper divisors (27472728).

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

14362152 is a wasteful number, since it uses less digits than its factorization.

14362152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1682 (or 1678 counting only the distinct ones).

The product of its digits is 1440, while the sum is 24.

The square root of 14362152 is about 3789.7429992019. The cubic root of 14362152 is about 243.0747454191.

Adding to 14362152 its reverse (25126341), we get a palindrome (39488493).

The spelling of 14362152 in words is "fourteen million, three hundred sixty-two thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 53 56 84 106 159 168 212 318 371 424 636 742 1113 1272 1484 1613 2226 2968 3226 4452 4839 6452 8904 9678 11291 12904 19356 22582 33873 38712 45164 67746 85489 90328 135492 170978 256467 270984 341956 512934 598423 683912 1025868 1196846 1795269 2051736 2393692 3590538 4787384 7181076 14362152