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14290000 = 24541429
BaseRepresentation
bin110110100000…
…110001010000
3222220000012021
4312200301100
512124240000
61230141224
7232314544
oct66406120
928800167
1014290000
11808031a
124951814
132c6442a
141c7da24
1513c411a
hexda0c50

14290000 has 50 divisors (see below), whose sum is σ = 34621730. Its totient is φ = 5712000.

The previous prime is 14289959. The next prime is 14290037. The reversal of 14290000 is 9241.

It can be written as a sum of positive squares in 5 ways, for example, as 9290304 + 4999696 = 3048^2 + 2236^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 9286 + ... + 10714.

Almost surely, 214290000 is an apocalyptic number.

14290000 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 14290000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17310865).

14290000 is an abundant number, since it is smaller than the sum of its proper divisors (20331730).

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

14290000 is an equidigital number, since it uses as much as digits as its factorization.

14290000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1457 (or 1436 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 14290000 is about 3780.2116342872. The cubic root of 14290000 is about 242.6670121693.

Adding to 14290000 its reverse (9241), we get a palindrome (14299241).

The spelling of 14290000 in words is "fourteen million, two hundred ninety thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 1429 2000 2500 2858 5000 5716 7145 10000 11432 14290 22864 28580 35725 57160 71450 114320 142900 178625 285800 357250 571600 714500 893125 1429000 1786250 2858000 3572500 7145000 14290000