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14100 = 2235247
BaseRepresentation
bin11011100010100
3201100020
43130110
5422400
6145140
756052
oct33424
921306
1014100
11a659
1281b0
136558
1451d2
1542a0
hex3714

14100 has 36 divisors (see below), whose sum is σ = 41664. Its totient is φ = 3680.

The previous prime is 14087. The next prime is 14107. The reversal of 14100 is 141.

14100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14107) by changing a digit.

14100 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 277 + ... + 323.

214100 is an apocalyptic number.

14100 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 14100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20832).

14100 is an abundant number, since it is smaller than the sum of its proper divisors (27564).

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

14100 is a wasteful number, since it uses less digits than its factorization.

14100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 14100 is about 118.7434208704. The cubic root of 14100 is about 24.1586708916.

Adding to 14100 its reverse (141), we get a palindrome (14241).

Multiplying 14100 by its reverse (141), we get a square (1988100 = 14102).

14100 divided by its reverse (141) gives a square (100 = 102).

The spelling of 14100 in words is "fourteen thousand, one hundred", and thus it is an iban number.

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 47 50 60 75 94 100 141 150 188 235 282 300 470 564 705 940 1175 1410 2350 2820 3525 4700 7050 14100