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14441000 = 235372063
BaseRepresentation
bin110111000101…
…101000101000
31000011200022212
4313011220220
512144103000
61233304252
7233514020
oct67055050
930150285
1014441000
118173812
124a05088
132cb8092
141cbca80
151403c35
hexdc5a28

14441000 has 64 divisors (see below), whose sum is σ = 38638080. Its totient is φ = 4948800.

The previous prime is 14440999. The next prime is 14441003. The reversal of 14441000 is 14441.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (14441003) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 5969 + ... + 8031.

It is an arithmetic number, because the mean of its divisors is an integer number (603720).

Almost surely, 214441000 is an apocalyptic number.

14441000 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 14441000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19319040).

14441000 is an abundant number, since it is smaller than the sum of its proper divisors (24197080).

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

14441000 is a wasteful number, since it uses less digits than its factorization.

14441000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2091 (or 2077 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 14441000 is about 3800.1315766694. The cubic root of 14441000 is about 243.5187594383.

Adding to 14441000 its reverse (14441), we get a palindrome (14455441).

14441000 divided by its reverse (14441) gives a cube (1000 = 103).

The spelling of 14441000 in words is "fourteen million, four hundred forty-one thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 250 280 350 500 700 875 1000 1400 1750 2063 3500 4126 7000 8252 10315 14441 16504 20630 28882 41260 51575 57764 72205 82520 103150 115528 144410 206300 257875 288820 361025 412600 515750 577640 722050 1031500 1444100 1805125 2063000 2888200 3610250 7220500 14441000