Search a number
-
+
14161320 = 23325139283
BaseRepresentation
bin110110000001…
…010110101000
3222122110200100
4312001112220
512111130240
61223305400
7231240435
oct66012650
928573610
1014161320
117aa2678
1248ab260
132c1a9a4
141c48b8c
15139ae30
hexd815a8

14161320 has 96 divisors (see below), whose sum is σ = 46519200. Its totient is φ = 3735936.

The previous prime is 14161291. The next prime is 14161339. The reversal of 14161320 is 2316141.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 14161293 and 14161302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49899 + ... + 50181.

It is an arithmetic number, because the mean of its divisors is an integer number (484575).

Almost surely, 214161320 is an apocalyptic number.

14161320 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 14161320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23259600).

14161320 is an abundant number, since it is smaller than the sum of its proper divisors (32357880).

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

14161320 is a wasteful number, since it uses less digits than its factorization.

14161320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 14161320 is about 3763.1529333791. The cubic root of 14161320 is about 241.9364175104.

Adding to 14161320 its reverse (2316141), we get a palindrome (16477461).

The spelling of 14161320 in words is "fourteen million, one hundred sixty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 139 180 278 283 360 417 556 566 695 834 849 1112 1132 1251 1390 1415 1668 1698 2085 2264 2502 2547 2780 2830 3336 3396 4170 4245 5004 5094 5560 5660 6255 6792 8340 8490 10008 10188 11320 12510 12735 16680 16980 20376 25020 25470 33960 39337 50040 50940 78674 101880 118011 157348 196685 236022 314696 354033 393370 472044 590055 708066 786740 944088 1180110 1416132 1573480 1770165 2360220 2832264 3540330 4720440 7080660 14161320