Search a number
-
+
14041200 = 2435211701
BaseRepresentation
bin110101100100…
…000001110000
3222102100220110
4311210001300
512043304300
61220541320
7230230305
oct65440160
928370813
1014041200
117a203a8
124851840
132ba8104
141c170ac
151375550
hexd64070

14041200 has 60 divisors (see below), whose sum is σ = 44982488. Its totient is φ = 3744000.

The previous prime is 14041151. The next prime is 14041207. The reversal of 14041200 is 214041.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14041207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4651 + ... + 7050.

Almost surely, 214041200 is an apocalyptic number.

14041200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14041200 is an abundant number, since it is smaller than the sum of its proper divisors (30941288).

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

14041200 is a wasteful number, since it uses less digits than its factorization.

14041200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11722 (or 11711 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 14041200 is about 3747.1589237714. The cubic root of 14041200 is about 241.2504183550.

Adding to 14041200 its reverse (214041), we get a palindrome (14255241).

It can be divided in two parts, 14041 and 200, that added together give a palindrome (14241).

The spelling of 14041200 in words is "fourteen million, forty-one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 11701 23402 35103 46804 58505 70206 93608 117010 140412 175515 187216 234020 280824 292525 351030 468040 561648 585050 702060 877575 936080 1170100 1404120 1755150 2340200 2808240 3510300 4680400 7020600 14041200