Search a number
-
+
14214618 = 232111741103
BaseRepresentation
bin110110001110…
…010111011010
3222202011210100
4312032113122
512114331433
61224400230
7231552015
oct66162732
928664710
1014214618
118029720
124916076
132c39022
141c6037c
1513abb13
hexd8e5da

14214618 has 96 divisors (see below), whose sum is σ = 36796032. Its totient is φ = 3916800.

The previous prime is 14214593. The next prime is 14214619. The reversal of 14214618 is 81641241.

It is a happy number.

14214618 is a `hidden beast` number, since 1 + 42 + 1 + 4 + 618 = 666.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 14214591 and 14214600.

It is not an unprimeable number, because it can be changed into a prime (14214619) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 137955 + ... + 138057.

It is an arithmetic number, because the mean of its divisors is an integer number (383292).

Almost surely, 214214618 is an apocalyptic number.

14214618 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14214618, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18398016).

14214618 is an abundant number, since it is smaller than the sum of its proper divisors (22581414).

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

14214618 is a wasteful number, since it uses less digits than its factorization.

14214618 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 177 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 14214618 is about 3770.2278445739. The cubic root of 14214618 is about 242.2395574229.

Adding to 14214618 its reverse (81641241), we get a palindrome (95855859).

The spelling of 14214618 in words is "fourteen million, two hundred fourteen thousand, six hundred eighteen".

Divisors: 1 2 3 6 9 11 17 18 22 33 34 41 51 66 82 99 102 103 123 153 187 198 206 246 306 309 369 374 451 561 618 697 738 902 927 1122 1133 1353 1394 1683 1751 1854 2091 2266 2706 3366 3399 3502 4059 4182 4223 5253 6273 6798 7667 8118 8446 10197 10506 12546 12669 15334 15759 19261 20394 23001 25338 31518 38007 38522 46002 46453 57783 69003 71791 76014 92906 115566 138006 139359 143582 173349 215373 278718 346698 418077 430746 646119 789701 836154 1292238 1579402 2369103 4738206 7107309 14214618