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14148180 = 2232583947
BaseRepresentation
bin110101111110…
…001001010100
3222121210122200
4311332021110
512110220210
61223124500
7231154224
oct65761124
928553580
1014148180
117a93812
1248a3730
132c14a07
141c44084
1513970c0
hexd7e254

14148180 has 72 divisors (see below), whose sum is σ = 43479072. Its totient is φ = 3723456.

The previous prime is 14148163. The next prime is 14148187. The reversal of 14148180 is 8184141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14148187) 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 23 ways as a sum of consecutive naturals, for example, 14467 + ... + 15413.

It is an arithmetic number, because the mean of its divisors is an integer number (603876).

Almost surely, 214148180 is an apocalyptic number.

14148180 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 14148180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21739536).

14148180 is an abundant number, since it is smaller than the sum of its proper divisors (29330892).

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

14148180 is a wasteful number, since it uses less digits than its factorization.

14148180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1045 (or 1040 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The square root of 14148180 is about 3761.4066517727. The cubic root of 14148180 is about 241.8615650651.

The spelling of 14148180 in words is "fourteen million, one hundred forty-eight thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 83 90 166 180 249 332 415 498 747 830 947 996 1245 1494 1660 1894 2490 2841 2988 3735 3788 4735 4980 5682 7470 8523 9470 11364 14205 14940 17046 18940 28410 34092 42615 56820 78601 85230 157202 170460 235803 314404 393005 471606 707409 786010 943212 1179015 1414818 1572020 2358030 2829636 3537045 4716060 7074090 14148180