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14082100 = 2252532657
BaseRepresentation
bin110101101110…
…000000110100
3222111110000021
4311232000310
512101111400
61221454524
7230460454
oct65560064
928443007
1014082100
117a490aa
124871444
132bc0906
141c27d64
15138271a
hexd6e034

14082100 has 36 divisors (see below), whose sum is σ = 31146444. Its totient is φ = 5524480.

The previous prime is 14082083. The next prime is 14082143. The reversal of 14082100 is 128041.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 34596 + 14047504 = 186^2 + 3748^2 .

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 11 ways as a sum of consecutive naturals, for example, 3972 + ... + 6628.

It is an arithmetic number, because the mean of its divisors is an integer number (865179).

Almost surely, 214082100 is an apocalyptic number.

14082100 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 14082100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15573222).

14082100 is an abundant number, since it is smaller than the sum of its proper divisors (17064344).

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

14082100 is a wasteful number, since it uses less digits than its factorization.

14082100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2724 (or 2717 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 14082100 is about 3752.6124233659. The cubic root of 14082100 is about 241.4844338965.

The spelling of 14082100 in words is "fourteen million, eighty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 53 100 106 212 265 530 1060 1325 2650 2657 5300 5314 10628 13285 26570 53140 66425 132850 140821 265700 281642 563284 704105 1408210 2816420 3520525 7041050 14082100