Search a number
-
+
14182350 = 23527131039
BaseRepresentation
bin110110000110…
…011111001110
3222200112112020
4312012133032
512112313400
61223551010
7231355650
oct66063716
928615466
1014182350
118007456
1248bb466
132c27430
141c526d0
1513a22a0
hexd867ce

14182350 has 96 divisors (see below), whose sum is σ = 43330560. Its totient is φ = 2989440.

The previous prime is 14182331. The next prime is 14182381. The reversal of 14182350 is 5328141.

It is a super-2 number, since 2×141823502 = 402278103045000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 14182350.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13131 + ... + 14169.

It is an arithmetic number, because the mean of its divisors is an integer number (451360).

Almost surely, 214182350 is an apocalyptic number.

14182350 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 14182350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21665280).

14182350 is an abundant number, since it is smaller than the sum of its proper divisors (29148210).

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

14182350 is a wasteful number, since it uses less digits than its factorization.

14182350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1074 (or 1069 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 14182350 is about 3765.9460962685. The cubic root of 14182350 is about 242.0561193075.

The spelling of 14182350 in words is "fourteen million, one hundred eighty-two thousand, three hundred fifty".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 25 26 30 35 39 42 50 65 70 75 78 91 105 130 150 175 182 195 210 273 325 350 390 455 525 546 650 910 975 1039 1050 1365 1950 2078 2275 2730 3117 4550 5195 6234 6825 7273 10390 13507 13650 14546 15585 21819 25975 27014 31170 36365 40521 43638 51950 67535 72730 77925 81042 94549 109095 135070 155850 181825 189098 202605 218190 283647 337675 363650 405210 472745 545475 567294 675350 945490 1013025 1090950 1418235 2026050 2363725 2836470 4727450 7091175 14182350