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14241216 = 263112613
BaseRepresentation
bin110110010100…
…110111000000
3222210112021110
4312110313000
512121204331
61225123320
7232022403
oct66246700
928715243
1014241216
118047700
124929540
132c48172
141c69d3a
1513b4946
hexd94dc0

14241216 has 84 divisors (see below), whose sum is σ = 41484296. Its totient is φ = 4308480.

The previous prime is 14241211. The next prime is 14241217. The reversal of 14241216 is 61214241.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 14241192 and 14241201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14241211) by changing a digit.

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, 22926 + ... + 23538.

Almost surely, 214241216 is an apocalyptic number.

14241216 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 14241216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20742148).

14241216 is an abundant number, since it is smaller than the sum of its proper divisors (27243080).

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

14241216 is a wasteful number, since it uses less digits than its factorization.

14241216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 650 (or 629 counting only the distinct ones).

The product of its digits is 384, while the sum is 21.

The square root of 14241216 is about 3773.7535690609. The cubic root of 14241216 is about 242.3905539349.

Adding to 14241216 its reverse (61214241), we get a palindrome (75455457).

The spelling of 14241216 in words is "fourteen million, two hundred forty-one thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 121 132 176 192 242 264 352 363 484 528 613 704 726 968 1056 1226 1452 1839 1936 2112 2452 2904 3678 3872 4904 5808 6743 7356 7744 9808 11616 13486 14712 19616 20229 23232 26972 29424 39232 40458 53944 58848 74173 80916 107888 117696 148346 161832 215776 222519 296692 323664 431552 445038 593384 647328 890076 1186768 1294656 1780152 2373536 3560304 4747072 7120608 14241216