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14081100 = 223521117251
BaseRepresentation
bin110101101101…
…110001001100
3222111101122020
4311231301030
512101043400
61221450140
7230454525
oct65556114
928441566
1014081100
117a48380
124870950
132bc0317
141c2784c
1513822a0
hexd6dc4c

14081100 has 144 divisors (see below), whose sum is σ = 47246976. Its totient is φ = 3200000.

The previous prime is 14081077. The next prime is 14081101. The reversal of 14081100 is 118041.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 14081100.

It is not an unprimeable number, because it can be changed into a prime (14081101) 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 47 ways as a sum of consecutive naturals, for example, 55975 + ... + 56225.

It is an arithmetic number, because the mean of its divisors is an integer number (328104).

Almost surely, 214081100 is an apocalyptic number.

14081100 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 14081100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23623488).

14081100 is an abundant number, since it is smaller than the sum of its proper divisors (33165876).

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

14081100 is a wasteful number, since it uses less digits than its factorization.

14081100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

The square root of 14081100 is about 3752.4791804885. The cubic root of 14081100 is about 241.4787176527.

Adding to 14081100 its reverse (118041), we get a palindrome (14199141).

The spelling of 14081100 in words is "fourteen million, eighty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 17 20 22 25 30 33 34 44 50 51 55 60 66 68 75 85 100 102 110 132 150 165 170 187 204 220 251 255 275 300 330 340 374 425 502 510 550 561 660 748 753 825 850 935 1004 1020 1100 1122 1255 1275 1506 1650 1700 1870 2244 2510 2550 2761 2805 3012 3300 3740 3765 4267 4675 5020 5100 5522 5610 6275 7530 8283 8534 9350 11044 11220 12550 12801 13805 14025 15060 16566 17068 18700 18825 21335 25100 25602 27610 28050 33132 37650 41415 42670 46937 51204 55220 56100 64005 69025 75300 82830 85340 93874 106675 128010 138050 140811 165660 187748 207075 213350 234685 256020 276100 281622 320025 414150 426700 469370 563244 640050 704055 828300 938740 1173425 1280100 1408110 2346850 2816220 3520275 4693700 7040550 14081100