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14401040 = 2451710589
BaseRepresentation
bin110110111011…
…111000010000
31000002122111212
4312323320100
512141313130
61232355252
7233256353
oct66737020
930078455
1014401040
118146795
1249a5b28
132ca2b34
141cac29a
1513e6e95
hexdbbe10

14401040 has 40 divisors (see below), whose sum is σ = 35455320. Its totient is φ = 5421056.

The previous prime is 14401027. The next prime is 14401043. The reversal of 14401040 is 4010441.

It can be written as a sum of positive squares in 4 ways, for example, as 976144 + 13424896 = 988^2 + 3664^2 .

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

It is not an unprimeable number, because it can be changed into a prime (14401043) 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, 3935 + ... + 6654.

It is an arithmetic number, because the mean of its divisors is an integer number (886383).

Almost surely, 214401040 is an apocalyptic number.

14401040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14401040 is an abundant number, since it is smaller than the sum of its proper divisors (21054280).

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

14401040 is a wasteful number, since it uses less digits than its factorization.

14401040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10619 (or 10613 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 14401040 is about 3794.8702217599. The cubic root of 14401040 is about 243.2939366172.

Adding to 14401040 its reverse (4010441), we get a palindrome (18411481).

The spelling of 14401040 in words is "fourteen million, four hundred one thousand, forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 10589 21178 42356 52945 84712 105890 169424 180013 211780 360026 423560 720052 847120 900065 1440104 1800130 2880208 3600260 7200520 14401040