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14108640 = 25357131719
BaseRepresentation
bin110101110100…
…011111100000
3222112210102020
4311310133200
512102434030
61222221440
7230631030
oct65643740
928483366
1014108640
117a67037
124884880
132bcca10
141c338c0
15138a510
hexd747e0

14108640 has 384 divisors, whose sum is σ = 60963840. Its totient is φ = 2654208.

The previous prime is 14108617. The next prime is 14108651. The reversal of 14108640 is 4680141.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 14108640.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 742551 + ... + 742569.

It is an arithmetic number, because the mean of its divisors is an integer number (158760).

Almost surely, 214108640 is an apocalyptic number.

14108640 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 14108640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30481920).

14108640 is an abundant number, since it is smaller than the sum of its proper divisors (46855200).

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

14108640 is a wasteful number, since it uses less digits than its factorization.

14108640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 14108640 is about 3756.1469619811. The cubic root of 14108640 is about 241.6360442108.

Adding to 14108640 its reverse (4680141), we get a palindrome (18788781).

The spelling of 14108640 in words is "fourteen million, one hundred eight thousand, six hundred forty".