Search a number
-
+
14886180 = 223651021
BaseRepresentation
bin111000110010…
…010100100100
31001000022000000
4320302110210
512302324210
61251021300
7240346641
oct70622444
931008000
1014886180
118448231
124b9a830
1331128ba
141d96dc8
151490ac0
hexe32524

14886180 has 84 divisors (see below), whose sum is σ = 46915932. Its totient is φ = 3965760.

The previous prime is 14886121. The next prime is 14886181. The reversal of 14886180 is 8168841.

It can be written as a sum of positive squares in 2 ways, for example, as 7001316 + 7884864 = 2646^2 + 2808^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14886181) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 14070 + ... + 15090.

It is an arithmetic number, because the mean of its divisors is an integer number (558523).

Almost surely, 214886180 is an apocalyptic number.

14886180 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 14886180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23457966).

14886180 is an abundant number, since it is smaller than the sum of its proper divisors (32029752).

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

14886180 is a wasteful number, since it uses less digits than its factorization.

14886180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1048 (or 1031 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 14886180 is about 3858.2612664256. The cubic root of 14886180 is about 245.9958357415.

The spelling of 14886180 in words is "fourteen million, eight hundred eighty-six thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 405 486 540 729 810 972 1021 1215 1458 1620 2042 2430 2916 3063 3645 4084 4860 5105 6126 7290 9189 10210 12252 14580 15315 18378 20420 27567 30630 36756 45945 55134 61260 82701 91890 110268 137835 165402 183780 248103 275670 330804 413505 496206 551340 744309 827010 992412 1240515 1488618 1654020 2481030 2977236 3721545 4962060 7443090 14886180