Search a number
-
+
14289210 = 2345132359
BaseRepresentation
bin110110100000…
…100100111010
3222212222010000
4312200210322
512124223320
61230133430
7232312335
oct66404472
928788100
1014289210
11807a771
124951276
132c63c70
141c7d61c
1513c3c90
hexda093a

14289210 has 160 divisors (see below), whose sum is σ = 43908480. Its totient is φ = 3307392.

The previous prime is 14289203. The next prime is 14289211. The reversal of 14289210 is 1298241.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (14289211) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 242161 + ... + 242219.

It is an arithmetic number, because the mean of its divisors is an integer number (274428).

Almost surely, 214289210 is an apocalyptic number.

14289210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14289210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21954240).

14289210 is an abundant number, since it is smaller than the sum of its proper divisors (29619270).

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

14289210 is a wasteful number, since it uses less digits than its factorization.

14289210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 14289210 is about 3780.1071413387. The cubic root of 14289210 is about 242.6625402665.

The spelling of 14289210 in words is "fourteen million, two hundred eighty-nine thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 13 15 18 23 26 27 30 39 45 46 54 59 65 69 78 81 90 115 117 118 130 135 138 162 177 195 207 230 234 270 295 299 345 351 354 390 405 414 531 585 590 598 621 690 702 767 810 885 897 1035 1053 1062 1170 1242 1357 1495 1534 1593 1755 1770 1794 1863 2070 2106 2301 2655 2691 2714 2990 3105 3186 3510 3726 3835 4071 4485 4602 4779 5265 5310 5382 6210 6785 6903 7670 7965 8073 8142 8970 9315 9558 10530 11505 12213 13455 13570 13806 15930 16146 17641 18630 20355 20709 23010 23895 24219 24426 26910 34515 35282 36639 40365 40710 41418 47790 48438 52923 61065 62127 69030 73278 80730 88205 103545 105846 109917 121095 122130 124254 158769 176410 183195 207090 219834 242190 264615 310635 317538 366390 476307 529230 549585 621270 793845 952614 1099170 1428921 1587690 2381535 2857842 4763070 7144605 14289210