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14644140 = 22357217293
BaseRepresentation
bin110111110111…
…001110101100
31000112222222120
4313313032230
512222103030
61241512540
7235321200
oct67671654
930488876
1014644140
1182a23a5
124aa2750
133059694
141d32b00
151444010
hexdf73ac

14644140 has 144 divisors (see below), whose sum is σ = 50676192. Its totient is φ = 3139584.

The previous prime is 14644129. The next prime is 14644141. The reversal of 14644140 is 4144641.

It is a self number, because there is not a number n which added to its sum of digits gives 14644140.

It is not an unprimeable number, because it can be changed into a prime (14644141) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49834 + ... + 50126.

It is an arithmetic number, because the mean of its divisors is an integer number (351918).

Almost surely, 214644140 is an apocalyptic number.

14644140 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 14644140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25338096).

14644140 is an abundant number, since it is smaller than the sum of its proper divisors (36032052).

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

14644140 is a wasteful number, since it uses less digits than its factorization.

14644140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 14644140 is about 3826.7662588666. The cubic root of 14644140 is about 244.6552975617.

Adding to 14644140 its reverse (4144641), we get a palindrome (18788781).

The spelling of 14644140 in words is "fourteen million, six hundred forty-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 17 20 21 28 30 34 35 42 49 51 60 68 70 84 85 98 102 105 119 140 147 170 196 204 210 238 245 255 293 294 340 357 420 476 490 510 586 588 595 714 735 833 879 980 1020 1172 1190 1428 1465 1470 1666 1758 1785 2051 2380 2499 2930 2940 3332 3516 3570 4102 4165 4395 4981 4998 5860 6153 7140 8204 8330 8790 9962 9996 10255 12306 12495 14357 14943 16660 17580 19924 20510 24612 24905 24990 28714 29886 30765 34867 41020 43071 49810 49980 57428 59772 61530 69734 71785 74715 86142 99620 104601 123060 139468 143570 149430 172284 174335 209202 215355 244069 287140 298860 348670 418404 430710 488138 523005 697340 732207 861420 976276 1046010 1220345 1464414 2092020 2440690 2928828 3661035 4881380 7322070 14644140