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14441100 = 22352371301
BaseRepresentation
bin110111000101…
…101010001100
31000011200110120
4313011222030
512144103400
61233304540
7233514222
oct67055214
930150416
1014441100
1181738a3
124a05150
132cb813b
141cbcb12
151403ca0
hexdc5a8c

14441100 has 72 divisors (see below), whose sum is σ = 42945168. Its totient is φ = 3744000.

The previous prime is 14441093. The next prime is 14441111. The reversal of 14441100 is 114441.

14441100 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 (15).

It is a self number, because there is not a number n which added to its sum of digits gives 14441100.

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, 10450 + ... + 11750.

Almost surely, 214441100 is an apocalyptic number.

14441100 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 14441100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21472584).

14441100 is an abundant number, since it is smaller than the sum of its proper divisors (28504068).

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

14441100 is a wasteful number, since it uses less digits than its factorization.

14441100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1355 (or 1348 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 14441100 is about 3800.1447340858. The cubic root of 14441100 is about 243.5193215374.

Adding to 14441100 its reverse (114441), we get a palindrome (14555541).

It can be divided in two parts, 14441 and 100, that added together give a palindrome (14541).

The spelling of 14441100 in words is "fourteen million, four hundred forty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 37 50 60 74 75 100 111 148 150 185 222 300 370 444 555 740 925 1110 1301 1850 2220 2602 2775 3700 3903 5204 5550 6505 7806 11100 13010 15612 19515 26020 32525 39030 48137 65050 78060 96274 97575 130100 144411 192548 195150 240685 288822 390300 481370 577644 722055 962740 1203425 1444110 2406850 2888220 3610275 4813700 7220550 14441100