Search a number
-
+
14449664 = 210103137
BaseRepresentation
bin110111000111…
…110000000000
31000012010012202
4313013300000
512144342124
61233412332
7233551205
oct67076000
930163182
1014449664
11817a279
124a0a0a8
132cbbcc8
141cc1cac
1514065ae
hexdc7c00

14449664 has 44 divisors (see below), whose sum is σ = 29378544. Its totient is φ = 7102464.

The previous prime is 14449663. The next prime is 14449691. The reversal of 14449664 is 46694441.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14449661) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 105404 + ... + 105540.

Almost surely, 214449664 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 14449664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14689272).

14449664 is an abundant number, since it is smaller than the sum of its proper divisors (14928880).

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

14449664 is a wasteful number, since it uses less digits than its factorization.

14449664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 242 counting only the distinct ones).

The product of its digits is 82944, while the sum is 38.

The square root of 14449664 is about 3801.2713662668. The cubic root of 14449664 is about 243.5674500814.

The spelling of 14449664 in words is "fourteen million, four hundred forty-nine thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 103 128 137 206 256 274 412 512 548 824 1024 1096 1648 2192 3296 4384 6592 8768 13184 14111 17536 26368 28222 35072 52736 56444 70144 105472 112888 140288 225776 451552 903104 1806208 3612416 7224832 14449664