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14010048 = 2632131871
BaseRepresentation
bin110101011100…
…011011000000
3222100210011200
4311130123000
512041310143
61220141200
7230040423
oct65343300
928323150
1014010048
1179a9a58
124837800
132b96b90
141c099ba
15136b1d3
hexd5c6c0

14010048 has 84 divisors (see below), whose sum is σ = 43269408. Its totient is φ = 4308480.

The previous prime is 14010037. The next prime is 14010071. The reversal of 14010048 is 84001041.

It is a Cunningham number, because it is equal to 37432-1.

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

It is a self number, because there is not a number n which added to its sum of digits gives 14010048.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6553 + ... + 8423.

It is an arithmetic number, because the mean of its divisors is an integer number (515112).

Almost surely, 214010048 is an apocalyptic number.

14010048 is a gapful number since it is divisible by the number (18) 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 14010048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21634704).

14010048 is an abundant number, since it is smaller than the sum of its proper divisors (29259360).

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

14010048 is a wasteful number, since it uses less digits than its factorization.

14010048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1902 (or 1889 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 14010048 is about 3742.9998664173. Note that the first 3 decimals coincide. The cubic root of 14010048 is about 241.0718724131.

Adding to 14010048 its reverse (84001041), we get a palindrome (98011089).

The spelling of 14010048 in words is "fourteen million, ten thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 144 156 192 208 234 288 312 416 468 576 624 832 936 1248 1871 1872 2496 3742 3744 5613 7484 7488 11226 14968 16839 22452 24323 29936 33678 44904 48646 59872 67356 72969 89808 97292 119744 134712 145938 179616 194584 218907 269424 291876 359232 389168 437814 538848 583752 778336 875628 1077696 1167504 1556672 1751256 2335008 3502512 4670016 7005024 14010048