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14104200 = 23352112137
BaseRepresentation
bin110101110011…
…011010001000
3222112120022210
4311303122020
512102313300
61222145120
7230612055
oct65633210
928476283
1014104200
117a63770
1248821a0
132bca9a6
141c3202c
151389050
hexd73688

14104200 has 96 divisors (see below), whose sum is σ = 47720160. Its totient is φ = 3417600.

The previous prime is 14104199. The next prime is 14104217. The reversal of 14104200 is 240141.

14104200 is digitally balanced in base 2 and base 4, 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 (12).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5532 + ... + 7668.

It is an arithmetic number, because the mean of its divisors is an integer number (497085).

Almost surely, 214104200 is an apocalyptic number.

14104200 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 14104200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23860080).

14104200 is an abundant number, since it is smaller than the sum of its proper divisors (33615960).

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

14104200 is a wasteful number, since it uses less digits than its factorization.

14104200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2167 (or 2158 counting only the distinct ones).

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

The square root of 14104200 is about 3755.5558842866. Note that the first 3 decimals coincide. The cubic root of 14104200 is about 241.6106938675.

Adding to 14104200 its reverse (240141), we get a palindrome (14344341).

The spelling of 14104200 in words is "fourteen million, one hundred four thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 75 88 100 110 120 132 150 165 200 220 264 275 300 330 440 550 600 660 825 1100 1320 1650 2137 2200 3300 4274 6411 6600 8548 10685 12822 17096 21370 23507 25644 32055 42740 47014 51288 53425 64110 70521 85480 94028 106850 117535 128220 141042 160275 188056 213700 235070 256440 282084 320550 352605 427400 470140 564168 587675 641100 705210 940280 1175350 1282200 1410420 1763025 2350700 2820840 3526050 4701400 7052100 14104200