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14489216 = 277103157
BaseRepresentation
bin110111010001…
…011010000000
31000021010110122
4313101122000
512202123331
61234315412
7234104420
oct67213200
930233418
1014489216
1181a6a65
124a28b68
133004001
141cd2480
15141317b
hexdd1680

14489216 has 64 divisors (see below), whose sum is σ = 33521280. Its totient is φ = 6110208.

The previous prime is 14489197. The next prime is 14489263. The reversal of 14489216 is 61298441.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 92210 + ... + 92366.

It is an arithmetic number, because the mean of its divisors is an integer number (523770).

Almost surely, 214489216 is an apocalyptic number.

14489216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

14489216 is the 2198-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14489216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16760640).

14489216 is an abundant number, since it is smaller than the sum of its proper divisors (19032064).

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

14489216 is a wasteful number, since it uses less digits than its factorization.

14489216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 269 counting only the distinct ones).

The product of its digits is 13824, while the sum is 35.

The square root of 14489216 is about 3806.4702809821. The cubic root of 14489216 is about 243.7894806967.

The spelling of 14489216 in words is "fourteen million, four hundred eighty-nine thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 103 112 128 157 206 224 314 412 448 628 721 824 896 1099 1256 1442 1648 2198 2512 2884 3296 4396 5024 5768 6592 8792 10048 11536 13184 16171 17584 20096 23072 32342 35168 46144 64684 70336 92288 113197 129368 140672 226394 258736 452788 517472 905576 1034944 1811152 2069888 3622304 7244608 14489216