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14005404 = 22327149373
BaseRepresentation
bin110101011011…
…010010011100
3222100112210200
4311123102130
512041133104
61220103500
7230021040
oct65332234
928315720
1014005404
1179a6516
124834b90
132b94a2a
141c08020
151369b39
hexd5b49c

14005404 has 72 divisors (see below), whose sum is σ = 40840800. Its totient is φ = 3964032.

The previous prime is 14005403. The next prime is 14005423. The reversal of 14005404 is 40450041.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14005403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37362 + ... + 37734.

Almost surely, 214005404 is an apocalyptic number.

14005404 is a gapful number since it is divisible by the number (14) 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 14005404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20420400).

14005404 is an abundant number, since it is smaller than the sum of its proper divisors (26835396).

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

14005404 is a wasteful number, since it uses less digits than its factorization.

14005404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539 (or 534 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 14005404 is about 3742.3794569765. The cubic root of 14005404 is about 241.0452329255.

Adding to 14005404 its reverse (40450041), we get a palindrome (54455445).

The spelling of 14005404 in words is "fourteen million, five thousand, four hundred four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 149 252 298 373 447 596 746 894 1043 1119 1341 1492 1788 2086 2238 2611 2682 3129 3357 4172 4476 5222 5364 6258 6714 7833 9387 10444 12516 13428 15666 18774 23499 31332 37548 46998 55577 93996 111154 166731 222308 333462 389039 500193 666924 778078 1000386 1167117 1556156 2000772 2334234 3501351 4668468 7002702 14005404