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14181300 = 22325272251
BaseRepresentation
bin110110000110…
…001110110100
3222200111002100
4312012032310
512112300200
61223542100
7231352620
oct66061664
928614070
1014181300
118006691
1248ba930
132c26b03
141c52180
1513a1d00
hexd863b4

14181300 has 108 divisors (see below), whose sum is σ = 50823136. Its totient is φ = 3240000.

The previous prime is 14181259. The next prime is 14181301. The reversal of 14181300 is 318141.

14181300 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×141813002 = 402218539380000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14181301) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5175 + ... + 7425.

Almost surely, 214181300 is an apocalyptic number.

14181300 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 14181300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25411568).

14181300 is an abundant number, since it is smaller than the sum of its proper divisors (36641836).

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

14181300 is a wasteful number, since it uses less digits than its factorization.

14181300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2278 (or 2268 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 14181300 is about 3765.8066864883. The cubic root of 14181300 is about 242.0501455632.

Adding to 14181300 its reverse (318141), we get a palindrome (14499441).

The spelling of 14181300 in words is "fourteen million, one hundred eighty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 25 28 30 35 36 42 45 50 60 63 70 75 84 90 100 105 126 140 150 175 180 210 225 252 300 315 350 420 450 525 630 700 900 1050 1260 1575 2100 2251 3150 4502 6300 6753 9004 11255 13506 15757 20259 22510 27012 31514 33765 40518 45020 47271 56275 63028 67530 78785 81036 94542 101295 112550 135060 141813 157570 168825 189084 202590 225100 236355 283626 315140 337650 393925 405180 472710 506475 567252 675300 709065 787850 945420 1012950 1181775 1418130 1575700 2025900 2363550 2836260 3545325 4727100 7090650 14181300