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14441004 = 223583179
BaseRepresentation
bin110111000101…
…101000101100
31000011200100000
4313011220230
512144103004
61233304300
7233514024
oct67055054
930150300
1014441004
118173816
124a05090
132cb8096
141cbca84
151403c39
hexdc5a2c

14441004 has 72 divisors (see below), whose sum is σ = 38525760. Its totient is φ = 4729104.

The previous prime is 14441003. The next prime is 14441023. The reversal of 14441004 is 40014441.

14441004 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 (18).

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

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80587 + ... + 80765.

It is an arithmetic number, because the mean of its divisors is an integer number (535080).

Almost surely, 214441004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14441004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19262880).

14441004 is an abundant number, since it is smaller than the sum of its proper divisors (24084756).

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

14441004 is a wasteful number, since it uses less digits than its factorization.

14441004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 14441004 is about 3800.1321029669. The cubic root of 14441004 is about 243.5187819223.

Adding to 14441004 its reverse (40014441), we get a palindrome (54455445).

The spelling of 14441004 in words is "fourteen million, four hundred forty-one thousand, four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 83 108 162 166 179 243 249 324 332 358 486 498 537 716 747 972 996 1074 1494 1611 2148 2241 2988 3222 4482 4833 6444 6723 8964 9666 13446 14499 14857 19332 20169 26892 28998 29714 40338 43497 44571 57996 59428 80676 86994 89142 133713 173988 178284 267426 401139 534852 802278 1203417 1604556 2406834 3610251 4813668 7220502 14441004