Search a number
-
+
14445240 = 2335177397
BaseRepresentation
bin110111000110…
…101010111000
31000011220010220
4313012222320
512144221430
61233340040
7233532255
oct67065270
930156126
1014445240
118176a17
124a07620
132cb9ca4
141cc042c
151405110
hexdc6ab8

14445240 has 128 divisors (see below), whose sum is σ = 46992960. Its totient is φ = 3538944.

The previous prime is 14445191. The next prime is 14445247. The reversal of 14445240 is 4254441.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 14445240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14445247) 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 31 ways as a sum of consecutive naturals, for example, 148872 + ... + 148968.

Almost surely, 214445240 is an apocalyptic number.

14445240 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 14445240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23496480).

14445240 is an abundant number, since it is smaller than the sum of its proper divisors (32547720).

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

14445240 is a wasteful number, since it uses less digits than its factorization.

14445240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

The square root of 14445240 is about 3800.6894111464. The cubic root of 14445240 is about 243.5425901634.

Adding to 14445240 its reverse (4254441), we get a palindrome (18699681).

The spelling of 14445240 in words is "fourteen million, four hundred forty-five thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 73 85 97 102 120 136 146 170 194 204 219 255 291 292 340 365 388 408 438 485 510 582 584 680 730 776 876 970 1020 1095 1164 1241 1455 1460 1649 1752 1940 2040 2190 2328 2482 2910 2920 3298 3723 3880 4380 4947 4964 5820 6205 6596 7081 7446 8245 8760 9894 9928 11640 12410 13192 14162 14892 16490 18615 19788 21243 24735 24820 28324 29784 32980 35405 37230 39576 42486 49470 49640 56648 65960 70810 74460 84972 98940 106215 120377 141620 148920 169944 197880 212430 240754 283240 361131 424860 481508 601885 722262 849720 963016 1203770 1444524 1805655 2407540 2889048 3611310 4815080 7222620 14445240