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14110000 = 24541783
BaseRepresentation
bin110101110100…
…110100110000
3222112212021121
4311310310300
512103010000
61222232024
7230635012
oct65646460
928485247
1014110000
117a68063
124885614
132c00518
141c341b2
15138ab1a
hexd74d30

14110000 has 100 divisors (see below), whose sum is σ = 36607032. Its totient is φ = 5248000.

The previous prime is 14109967. The next prime is 14110007. The reversal of 14110000 is 1141.

It is a happy number.

14110000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14110007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 169959 + ... + 170041.

Almost surely, 214110000 is an apocalyptic number.

14110000 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 14110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18303516).

14110000 is an abundant number, since it is smaller than the sum of its proper divisors (22497032).

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

14110000 is an equidigital number, since it uses as much as digits as its factorization.

14110000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

The square root of 14110000 is about 3756.3279941986. The cubic root of 14110000 is about 241.6438081167.

Adding to 14110000 its reverse (1141), we get a palindrome (14111141).

The spelling of 14110000 in words is "fourteen million, one hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 34 40 50 68 80 83 85 100 125 136 166 170 200 250 272 332 340 400 415 425 500 625 664 680 830 850 1000 1250 1328 1360 1411 1660 1700 2000 2075 2125 2500 2822 3320 3400 4150 4250 5000 5644 6640 6800 7055 8300 8500 10000 10375 10625 11288 14110 16600 17000 20750 21250 22576 28220 33200 34000 35275 41500 42500 51875 56440 70550 83000 85000 103750 112880 141100 166000 170000 176375 207500 282200 352750 415000 564400 705500 830000 881875 1411000 1763750 2822000 3527500 7055000 14110000