Search a number
-
+
14054600 = 2352710039
BaseRepresentation
bin110101100111…
…010011001000
3222110001021202
4311213103020
512044221400
61221123332
7230314340
oct65472310
928401252
1014054600
117a2a47a
124859548
132bb1241
141c1bd20
1513794d5
hexd674c8

14054600 has 48 divisors (see below), whose sum is σ = 37348800. Its totient is φ = 4818240.

The previous prime is 14054581. The next prime is 14054603. The reversal of 14054600 is 645041.

It is a happy number.

14054600 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

14054600 is strictly pandigital in base 8.

It is not an unprimeable number, because it can be changed into a prime (14054603) 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, 3620 + ... + 6419.

It is an arithmetic number, because the mean of its divisors is an integer number (778100).

Almost surely, 214054600 is an apocalyptic number.

14054600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14054600 is an abundant number, since it is smaller than the sum of its proper divisors (23294200).

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

14054600 is a wasteful number, since it uses less digits than its factorization.

14054600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10062 (or 10053 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 14054600 is about 3748.9465186903. The cubic root of 14054600 is about 241.3271384780.

Adding to 14054600 its reverse (645041), we get a palindrome (14699641).

The spelling of 14054600 in words is "fourteen million, fifty-four thousand, six hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 700 1400 10039 20078 40156 50195 70273 80312 100390 140546 200780 250975 281092 351365 401560 501950 562184 702730 1003900 1405460 1756825 2007800 2810920 3513650 7027300 14054600