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14111700 = 22352172767
BaseRepresentation
bin110101110101…
…001111010100
3222112221121120
4311311033110
512103033300
61222243540
7230642661
oct65651724
928487546
1014111700
117a69369
1248865b0
132c01225
141c34a68
15138b3a0
hexd753d4

14111700 has 72 divisors (see below), whose sum is σ = 43247232. Its totient is φ = 3540480.

The previous prime is 14111693. The next prime is 14111707. The reversal of 14111700 is 711141.

It is an interprime number because it is at equal distance from previous prime (14111693) and next prime (14111707).

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 14111700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14111707) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3717 + ... + 6483.

It is an arithmetic number, because the mean of its divisors is an integer number (600656).

Almost surely, 214111700 is an apocalyptic number.

14111700 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 14111700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21623616).

14111700 is an abundant number, since it is smaller than the sum of its proper divisors (29135532).

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

14111700 is a wasteful number, since it uses less digits than its factorization.

14111700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2801 (or 2794 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 15.

The square root of 14111700 is about 3756.5542722021. The cubic root of 14111700 is about 241.6535122976.

Adding to 14111700 its reverse (711141), we get a palindrome (14822841).

The spelling of 14111700 in words is "fourteen million, one hundred eleven thousand, seven hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 25 30 34 50 51 60 68 75 85 100 102 150 170 204 255 300 340 425 510 850 1020 1275 1700 2550 2767 5100 5534 8301 11068 13835 16602 27670 33204 41505 47039 55340 69175 83010 94078 138350 141117 166020 188156 207525 235195 276700 282234 415050 470390 564468 705585 830100 940780 1175975 1411170 2351950 2822340 3527925 4703900 7055850 14111700