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14673664 = 2831432
BaseRepresentation
bin110111111110…
…011100000000
31000121111111001
4313332130000
512224024124
61242301344
7235503235
oct67763400
930544431
1014673664
1183125a5
124ab7854
133069c55
141d3d78c
15144cb44
hexdfe700

14673664 has 54 divisors (see below), whose sum is σ = 30954336. Its totient is φ = 6935040.

The previous prime is 14673649. The next prime is 14673667. The reversal of 14673664 is 46637641.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14673667) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 341227 + ... + 341269.

Almost surely, 214673664 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 14673664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15477168).

14673664 is an abundant number, since it is smaller than the sum of its proper divisors (16280672).

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

14673664 is an frugal number, since it uses more digits than its factorization.

14673664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 76 counting only the distinct ones).

The product of its digits is 72576, while the sum is 37.

The square root of 14673664 is about 3830.6218816271. The cubic root of 14673664 is about 244.8196034254.

The spelling of 14673664 in words is "fourteen million, six hundred seventy-three thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 31 32 43 62 64 86 124 128 172 248 256 344 496 688 992 1333 1376 1849 1984 2666 2752 3698 3968 5332 5504 7396 7936 10664 11008 14792 21328 29584 42656 57319 59168 85312 114638 118336 170624 229276 236672 341248 458552 473344 917104 1834208 3668416 7336832 14673664