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14049664 = 271953109
BaseRepresentation
bin110101100110…
…000110000000
3222102210111221
4311212012000
512044042124
61221044424
7230264056
oct65460600
928383457
1014049664
117a267a2
124856714
132babc15
141c1a1d6
151377ce4
hexd66180

14049664 has 64 divisors (see below), whose sum is σ = 30294000. Its totient is φ = 6469632.

The previous prime is 14049661. The next prime is 14049697. The reversal of 14049664 is 46694041.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14049661) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 128842 + ... + 128950.

Almost surely, 214049664 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 14049664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15147000).

14049664 is an abundant number, since it is smaller than the sum of its proper divisors (16244336).

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

14049664 is a wasteful number, since it uses less digits than its factorization.

14049664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The square root of 14049664 is about 3748.2881426059. The cubic root of 14049664 is about 241.2988836663.

The spelling of 14049664 in words is "fourteen million, forty-nine thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 19 32 38 53 64 76 106 109 128 152 212 218 304 424 436 608 848 872 1007 1216 1696 1744 2014 2071 2432 3392 3488 4028 4142 5777 6784 6976 8056 8284 11554 13952 16112 16568 23108 32224 33136 46216 64448 66272 92432 109763 128896 132544 184864 219526 265088 369728 439052 739456 878104 1756208 3512416 7024832 14049664