Search a number
-
+
14198382 = 2331124153
BaseRepresentation
bin110110001010…
…011001101110
3222201100112000
4312022121232
512113322012
61224153130
7231453462
oct66123156
928640460
1014198382
118018500
1249087a6
132c31813
141c584a2
1513a6ddc
hexd8a66e

14198382 has 96 divisors (see below), whose sum is σ = 36197280. Its totient is φ = 4118400.

The previous prime is 14198369. The next prime is 14198389. The reversal of 14198382 is 28389141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14198389) 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 47 ways as a sum of consecutive naturals, for example, 267868 + ... + 267920.

It is an arithmetic number, because the mean of its divisors is an integer number (377055).

Almost surely, 214198382 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14198382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18098640).

14198382 is an abundant number, since it is smaller than the sum of its proper divisors (21998898).

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

14198382 is a wasteful number, since it uses less digits than its factorization.

14198382 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 110 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 14198382 is about 3768.0740438585. The cubic root of 14198382 is about 242.1472932519.

It can be divided in two parts, 1419 and 8382, that added together give a square (9801 = 992).

The spelling of 14198382 in words is "fourteen million, one hundred ninety-eight thousand, three hundred eighty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 41 53 54 66 82 99 106 121 123 159 198 242 246 297 318 363 369 451 477 583 594 726 738 902 954 1089 1107 1166 1353 1431 1749 2173 2178 2214 2706 2862 3267 3498 4059 4346 4961 5247 6413 6519 6534 8118 9922 10494 12177 12826 13038 14883 15741 19239 19557 23903 24354 29766 31482 38478 39114 44649 47806 57717 58671 71709 89298 115434 117342 133947 143418 173151 215127 262933 267894 346302 430254 525866 645381 788799 1290762 1577598 2366397 4732794 7099191 14198382