Search a number
-
+
14104600 = 2352109647
BaseRepresentation
bin110101110011…
…100000011000
3222112120212121
4311303200120
512102321400
61222151024
7230613166
oct65634030
928476777
1014104600
117a63aa4
124882474
132bcac23
141c32236
15138921a
hexd73818

14104600 has 48 divisors (see below), whose sum is σ = 33145200. Its totient is φ = 5581440.

The previous prime is 14104591. The next prime is 14104613. The reversal of 14104600 is 640141.

It is a happy number.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 21477 + ... + 22123.

It is an arithmetic number, because the mean of its divisors is an integer number (690525).

Almost surely, 214104600 is an apocalyptic number.

14104600 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 14104600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16572600).

14104600 is an abundant number, since it is smaller than the sum of its proper divisors (19040600).

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

14104600 is a wasteful number, since it uses less digits than its factorization.

14104600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 772 (or 763 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 14104600 is about 3755.6091383423. The cubic root of 14104600 is about 241.6129779003.

Adding to 14104600 its reverse (640141), we get a palindrome (14744741).

The spelling of 14104600 in words is "fourteen million, one hundred four thousand, six hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 109 200 218 436 545 647 872 1090 1294 2180 2588 2725 3235 4360 5176 5450 6470 10900 12940 16175 21800 25880 32350 64700 70523 129400 141046 282092 352615 564184 705230 1410460 1763075 2820920 3526150 7052300 14104600