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14165000 = 23542833
BaseRepresentation
bin110110000010…
…010000001000
3222122122201122
4312002100020
512111240000
61223334412
7231254243
oct66022010
928578648
1014165000
117aa5413
1248b1408
132c1c575
141c4a25a
15139c085
hexd82408

14165000 has 40 divisors (see below), whose sum is σ = 33200310. Its totient is φ = 5664000.

The previous prime is 14164979. The next prime is 14165023. The reversal of 14165000 is 56141.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 42436 + 14122564 = 206^2 + 3758^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 14165000.

It is a congruent number.

It is an unprimeable 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 9 ways as a sum of consecutive naturals, for example, 3584 + ... + 6416.

Almost surely, 214165000 is an apocalyptic number.

14165000 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 14165000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16600155).

14165000 is an abundant number, since it is smaller than the sum of its proper divisors (19035310).

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

14165000 is an equidigital number, since it uses as much as digits as its factorization.

14165000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2859 (or 2840 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 14165000 is about 3763.6418533118. The cubic root of 14165000 is about 241.9573724521.

The spelling of 14165000 in words is "fourteen million, one hundred sixty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 625 1000 1250 2500 2833 5000 5666 11332 14165 22664 28330 56660 70825 113320 141650 283300 354125 566600 708250 1416500 1770625 2833000 3541250 7082500 14165000