Search a number
-
+
14186172 = 223711131181
BaseRepresentation
bin110110000111…
…011010111100
3222200201202210
4312013122330
512112424142
61224020420
7231403050
oct66073274
928621683
1014186172
11800a310
124901710
132c290b0
141c53c60
1513a349c
hexd876bc

14186172 has 96 divisors (see below), whose sum is σ = 44481024. Its totient is φ = 3398400.

The previous prime is 14186171. The next prime is 14186231. The reversal of 14186172 is 27168141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14186171) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11422 + ... + 12602.

It is an arithmetic number, because the mean of its divisors is an integer number (463344).

Almost surely, 214186172 is an apocalyptic number.

14186172 is a gapful number since it is divisible by the number (12) 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 14186172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22240512).

14186172 is an abundant number, since it is smaller than the sum of its proper divisors (30294852).

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

14186172 is a wasteful number, since it uses less digits than its factorization.

14186172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1219 (or 1217 counting only the distinct ones).

The product of its digits is 2688, while the sum is 30.

The square root of 14186172 is about 3766.4535042929. The cubic root of 14186172 is about 242.0778612472.

The spelling of 14186172 in words is "fourteen million, one hundred eighty-six thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 7 11 12 13 14 21 22 26 28 33 39 42 44 52 66 77 78 84 91 132 143 154 156 182 231 273 286 308 364 429 462 546 572 858 924 1001 1092 1181 1716 2002 2362 3003 3543 4004 4724 6006 7086 8267 12012 12991 14172 15353 16534 24801 25982 30706 33068 38973 46059 49602 51964 61412 77946 90937 92118 99204 107471 155892 168883 181874 184236 214942 272811 322413 337766 363748 429884 506649 545622 644826 675532 1013298 1091244 1182181 1289652 2026596 2364362 3546543 4728724 7093086 14186172