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14540416 = 271123449
BaseRepresentation
bin110111011101…
…111010000000
31000100201200221
4313131322000
512210243131
61235352424
7234406612
oct67357200
930321627
1014540416
118231480
124a52714
1330213c7
141d06db2
151423411
hexddde80

14540416 has 64 divisors (see below), whose sum is σ = 33048000. Its totient is φ = 6307840.

The previous prime is 14540413. The next prime is 14540417. The reversal of 14540416 is 61404541.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×145404162 = 422847394906112, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (14540411) 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, 32160 + ... + 32608.

It is an arithmetic number, because the mean of its divisors is an integer number (516375).

Almost surely, 214540416 is an apocalyptic number.

14540416 is a gapful number since it is divisible by the number (16) 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 14540416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16524000).

14540416 is an abundant number, since it is smaller than the sum of its proper divisors (18507584).

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

14540416 is a wasteful number, since it uses less digits than its factorization.

14540416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 14540416 is about 3813.1897408862. The cubic root of 14540416 is about 244.0762997072.

Adding to 14540416 its reverse (61404541), we get a palindrome (75944957).

The spelling of 14540416 in words is "fourteen million, five hundred forty thousand, four hundred sixteen".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 64 88 92 128 176 184 253 352 368 449 506 704 736 898 1012 1408 1472 1796 2024 2944 3592 4048 4939 7184 8096 9878 10327 14368 16192 19756 20654 28736 32384 39512 41308 57472 79024 82616 113597 158048 165232 227194 316096 330464 454388 632192 660928 908776 1321856 1817552 3635104 7270208 14540416