Search a number
-
+
14363040 = 2535231301
BaseRepresentation
bin110110110010…
…100110100000
31000000201101110
4312302212200
512134104130
61231503320
7233040516
oct66624640
930021343
1014363040
11812018a
124987b40
132c8b753
141c9c4b6
1513daab0
hexdb29a0

14363040 has 96 divisors (see below), whose sum is σ = 47246976. Its totient is φ = 3660800.

The previous prime is 14363029. The next prime is 14363077. The reversal of 14363040 is 4036341.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 14362998 and 14363016.

It is an unprimeable number.

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, 10390 + ... + 11690.

It is an arithmetic number, because the mean of its divisors is an integer number (492156).

Almost surely, 214363040 is an apocalyptic number.

14363040 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 14363040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23623488).

14363040 is an abundant number, since it is smaller than the sum of its proper divisors (32883936).

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

14363040 is a wasteful number, since it uses less digits than its factorization.

14363040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1342 (or 1334 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 14363040 is about 3789.8601557313. The cubic root of 14363040 is about 243.0797550194.

Adding to 14363040 its reverse (4036341), we get a palindrome (18399381).

The spelling of 14363040 in words is "fourteen million, three hundred sixty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 32 40 46 48 60 69 80 92 96 115 120 138 160 184 230 240 276 345 368 460 480 552 690 736 920 1104 1301 1380 1840 2208 2602 2760 3680 3903 5204 5520 6505 7806 10408 11040 13010 15612 19515 20816 26020 29923 31224 39030 41632 52040 59846 62448 78060 89769 104080 119692 124896 149615 156120 179538 208160 239384 299230 312240 359076 448845 478768 598460 624480 718152 897690 957536 1196920 1436304 1795380 2393840 2872608 3590760 4787680 7181520 14363040