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14483664 = 2433132579
BaseRepresentation
bin110111010000…
…000011010000
31000020211212000
4313100003100
512201434124
61234234000
7234052266
oct67200320
930224760
1014483664
1181a2878
124a25900
133001620
141cd0436
1514116c9
hexdd00d0

14483664 has 80 divisors (see below), whose sum is σ = 44788800. Its totient is φ = 4454784.

The previous prime is 14483659. The next prime is 14483669. The reversal of 14483664 is 46638441.

It is an interprime number because it is at equal distance from previous prime (14483659) and next prime (14483669).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14483669) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4327 + ... + 6905.

It is an arithmetic number, because the mean of its divisors is an integer number (559860).

Almost surely, 214483664 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 14483664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22394400).

14483664 is an abundant number, since it is smaller than the sum of its proper divisors (30305136).

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

14483664 is a wasteful number, since it uses less digits than its factorization.

14483664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2609 (or 2597 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 14483664 is about 3805.7409265477. The cubic root of 14483664 is about 243.7583381763.

The spelling of 14483664 in words is "fourteen million, four hundred eighty-three thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 104 108 117 144 156 208 216 234 312 351 432 468 624 702 936 1404 1872 2579 2808 5158 5616 7737 10316 15474 20632 23211 30948 33527 41264 46422 61896 67054 69633 92844 100581 123792 134108 139266 185688 201162 268216 278532 301743 371376 402324 536432 557064 603486 804648 905229 1114128 1206972 1609296 1810458 2413944 3620916 4827888 7241832 14483664