Search a number
-
+
14664320 = 275112083
BaseRepresentation
bin110111111100…
…001010000000
31000121000122222
4313330022000
512223224240
61242150212
7235434056
oct67741200
930530588
1014664320
118306580
124ab2368
133065918
141d3a1d6
151449eb5
hexdfc280

14664320 has 64 divisors (see below), whose sum is σ = 38262240. Its totient is φ = 5329920.

The previous prime is 14664311. The next prime is 14664337. The reversal of 14664320 is 2346641.

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

It is a self number, because there is not a number n which added to its sum of digits gives 14664320.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5999 + ... + 8081.

Almost surely, 214664320 is an apocalyptic number.

14664320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14664320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19131120).

14664320 is an abundant number, since it is smaller than the sum of its proper divisors (23597920).

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

14664320 is a wasteful number, since it uses less digits than its factorization.

14664320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2113 (or 2101 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

The square root of 14664320 is about 3829.4020420948. The cubic root of 14664320 is about 244.7676264023.

The spelling of 14664320 in words is "fourteen million, six hundred sixty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 320 352 440 640 704 880 1408 1760 2083 3520 4166 7040 8332 10415 16664 20830 22913 33328 41660 45826 66656 83320 91652 114565 133312 166640 183304 229130 266624 333280 366608 458260 666560 733216 916520 1333120 1466432 1833040 2932864 3666080 7332160 14664320