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14431040 = 265133469
BaseRepresentation
bin110111000011…
…001101000000
31000011011122222
4313003031000
512143243130
61233150212
7233443001
oct67031500
930134588
1014431040
118167288
1249bb368
132cb36a0
141cb91a8
151400ce5
hexdc3340

14431040 has 56 divisors (see below), whose sum is σ = 37017960. Its totient is φ = 5326848.

The previous prime is 14431037. The next prime is 14431069. The reversal of 14431040 is 4013441.

It can be written as a sum of positive squares in 4 ways, for example, as 473344 + 13957696 = 688^2 + 3736^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2426 + ... + 5894.

It is an arithmetic number, because the mean of its divisors is an integer number (661035).

Almost surely, 214431040 is an apocalyptic number.

14431040 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 14431040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18508980).

14431040 is an abundant number, since it is smaller than the sum of its proper divisors (22586920).

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

14431040 is a wasteful number, since it uses less digits than its factorization.

14431040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3499 (or 3489 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 14431040 is about 3798.8208696910. The cubic root of 14431040 is about 243.4627613618.

Adding to 14431040 its reverse (4013441), we get a palindrome (18444481).

The spelling of 14431040 in words is "fourteen million, four hundred thirty-one thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 130 160 208 260 320 416 520 832 1040 2080 3469 4160 6938 13876 17345 27752 34690 45097 55504 69380 90194 111008 138760 180388 222016 225485 277520 360776 450970 555040 721552 901940 1110080 1443104 1803880 2886208 3607760 7215520 14431040