Search a number
-
+
14204288 = 27783191
BaseRepresentation
bin110110001011…
…110110000000
3222201122121202
4312023312000
512114014123
61224240332
7231506630
oct66136600
928648552
1014204288
11802198a
1249100a8
132c34407
141c5a6c0
1513a8a28
hexd8bd80

14204288 has 64 divisors (see below), whose sum is σ = 32901120. Its totient is φ = 5982720.

The previous prime is 14204257. The next prime is 14204339. The reversal of 14204288 is 88240241.

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

It is a self number, because there is not a number n which added to its sum of digits gives 14204288.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 74273 + ... + 74463.

It is an arithmetic number, because the mean of its divisors is an integer number (514080).

Almost surely, 214204288 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 14204288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16450560).

14204288 is an abundant number, since it is smaller than the sum of its proper divisors (18696832).

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

14204288 is an equidigital number, since it uses as much as digits as its factorization.

14204288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 29.

The square root of 14204288 is about 3768.8576518622. The cubic root of 14204288 is about 242.1808633603.

The spelling of 14204288 in words is "fourteen million, two hundred four thousand, two hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 83 112 128 166 191 224 332 382 448 581 664 764 896 1162 1328 1337 1528 2324 2656 2674 3056 4648 5312 5348 6112 9296 10624 10696 12224 15853 18592 21392 24448 31706 37184 42784 63412 74368 85568 110971 126824 171136 221942 253648 443884 507296 887768 1014592 1775536 2029184 3551072 7102144 14204288