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14408080 = 245199479
BaseRepresentation
bin110110111101…
…100110010000
31000010000011121
4312331212100
512142024310
61232452024
7233316031
oct66754620
930100147
1014408080
118151005
1249aa014
132ca60bb
141cb0a88
1513e90da
hexdbd990

14408080 has 40 divisors (see below), whose sum is σ = 35265600. Its totient is φ = 5459328.

The previous prime is 14408071. The next prime is 14408081. The reversal of 14408080 is 8080441.

It is a tau number, because it is divible by the number of its divisors (40).

14408080 is a modest number, since divided by 8080 gives 1440 as remainder.

It is not an unprimeable number, because it can be changed into a prime (14408081) 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 7 ways as a sum of consecutive naturals, for example, 3220 + ... + 6259.

It is an arithmetic number, because the mean of its divisors is an integer number (881640).

Almost surely, 214408080 is an apocalyptic number.

14408080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14408080 is an abundant number, since it is smaller than the sum of its proper divisors (20857520).

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

14408080 is a wasteful number, since it uses less digits than its factorization.

14408080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9511 (or 9505 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 25.

The square root of 14408080 is about 3795.7976763784. The cubic root of 14408080 is about 243.3335751963. Note that the first 3 decimals are identical.

The spelling of 14408080 in words is "fourteen million, four hundred eight thousand, eighty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 304 380 760 1520 9479 18958 37916 47395 75832 94790 151664 180101 189580 360202 379160 720404 758320 900505 1440808 1801010 2881616 3602020 7204040 14408080