Search a number
-
+
14660240 = 245747557
BaseRepresentation
bin110111111011…
…001010010000
31000120211001212
4313323022100
512223111430
61242115252
7235416140
oct67731220
930524055
1014660240
118303501
124aabb28
133063aca
141d38920
151448b95
hexdfb290

14660240 has 80 divisors (see below), whose sum is σ = 39854592. Its totient is φ = 4910592.

The previous prime is 14660237. The next prime is 14660257. The reversal of 14660240 is 4206641.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 26042 + ... + 26598.

Almost surely, 214660240 is an apocalyptic number.

14660240 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 14660240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19927296).

14660240 is an abundant number, since it is smaller than the sum of its proper divisors (25194352).

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

14660240 is a wasteful number, since it uses less digits than its factorization.

14660240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 14660240 is about 3828.8692847889. The cubic root of 14660240 is about 244.7449240302.

Adding to 14660240 its reverse (4206641), we get a palindrome (18866881).

The spelling of 14660240 in words is "fourteen million, six hundred sixty thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 47 56 70 80 94 112 140 188 235 280 329 376 470 557 560 658 752 940 1114 1316 1645 1880 2228 2632 2785 3290 3760 3899 4456 5264 5570 6580 7798 8912 11140 13160 15596 19495 22280 26179 26320 31192 38990 44560 52358 62384 77980 104716 130895 155960 183253 209432 261790 311920 366506 418864 523580 733012 916265 1047160 1466024 1832530 2094320 2932048 3665060 7330120 14660240