Search a number
-
+
14111000 = 2353103137
BaseRepresentation
bin110101110101…
…000100011000
3222112220122122
4311311010120
512103023000
61222240412
7230640641
oct65650430
928486578
1014111000
117a68892
124886108
132c00b07
141c346c8
15138b085
hexd75118

14111000 has 64 divisors (see below), whose sum is σ = 33583680. Its totient is φ = 5548800.

The previous prime is 14110997. The next prime is 14111017. The reversal of 14111000 is 11141.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102932 + ... + 103068.

It is an arithmetic number, because the mean of its divisors is an integer number (524745).

Almost surely, 214111000 is an apocalyptic number.

14111000 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 14111000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16791840).

14111000 is an abundant number, since it is smaller than the sum of its proper divisors (19472680).

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

14111000 is a wasteful number, since it uses less digits than its factorization.

14111000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

The square root of 14111000 is about 3756.4611005573. The cubic root of 14111000 is about 241.6495165528.

Adding to 14111000 its reverse (11141), we get a palindrome (14122141).

The spelling of 14111000 in words is "fourteen million, one hundred eleven thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 103 125 137 200 206 250 274 412 500 515 548 685 824 1000 1030 1096 1370 2060 2575 2740 3425 4120 5150 5480 6850 10300 12875 13700 14111 17125 20600 25750 27400 28222 34250 51500 56444 68500 70555 103000 112888 137000 141110 282220 352775 564440 705550 1411100 1763875 2822200 3527750 7055500 14111000