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14126000 = 245371009
BaseRepresentation
bin110101111000…
…101110110000
3222120200020012
4311320232300
512104013000
61222434052
7231032450
oct65705660
928520205
1014126000
117a79089
124892928
132c078a5
141c39d60
151390735
hexd78bb0

14126000 has 80 divisors (see below), whose sum is σ = 39074880. Its totient is φ = 4838400.

The previous prime is 14125999. The next prime is 14126039. The reversal of 14126000 is 62141.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13496 + ... + 14504.

It is an arithmetic number, because the mean of its divisors is an integer number (488436).

Almost surely, 214126000 is an apocalyptic number.

14126000 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 14126000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19537440).

14126000 is an abundant number, since it is smaller than the sum of its proper divisors (24948880).

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

14126000 is a wasteful number, since it uses less digits than its factorization.

14126000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1039 (or 1023 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 14126000 is about 3758.4571302597. The cubic root of 14126000 is about 241.7351107497.

Adding to 14126000 its reverse (62141), we get a palindrome (14188141).

The spelling of 14126000 in words is "fourteen million, one hundred twenty-six thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 125 140 175 200 250 280 350 400 500 560 700 875 1000 1009 1400 1750 2000 2018 2800 3500 4036 5045 7000 7063 8072 10090 14000 14126 16144 20180 25225 28252 35315 40360 50450 56504 70630 80720 100900 113008 126125 141260 176575 201800 252250 282520 353150 403600 504500 565040 706300 882875 1009000 1412600 1765750 2018000 2825200 3531500 7063000 14126000