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14114208 = 253233631
BaseRepresentation
bin110101110101…
…110110100000
3222120002001110
4311311312200
512103123313
61222303320
7230653203
oct65656640
928502043
1014114208
117a70239
124887b40
132c02404
141c3593a
15138bec3
hexd75da0

14114208 has 48 divisors (see below), whose sum is σ = 37267776. Its totient is φ = 4677120.

The previous prime is 14114197. The next prime is 14114227. The reversal of 14114208 is 80241141.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

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, 22053 + ... + 22683.

It is an arithmetic number, because the mean of its divisors is an integer number (776412).

Almost surely, 214114208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14114208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18633888).

14114208 is an abundant number, since it is smaller than the sum of its proper divisors (23153568).

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

14114208 is a wasteful number, since it uses less digits than its factorization.

14114208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 877 (or 869 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 14114208 is about 3756.8880739250. Note that the first 3 decimals coincide. The cubic root of 14114208 is about 241.6678273957.

Adding to 14114208 its reverse (80241141), we get a palindrome (94355349).

The spelling of 14114208 in words is "fourteen million, one hundred fourteen thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 233 466 631 699 932 1262 1398 1864 1893 2524 2796 3728 3786 5048 5592 7456 7572 10096 11184 15144 20192 22368 30288 60576 147023 294046 441069 588092 882138 1176184 1764276 2352368 3528552 4704736 7057104 14114208