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14140000 = 25547101
BaseRepresentation
bin110101111100…
…001001100000
3222121101102201
4311330021200
512104440000
61223022544
7231121330
oct65741140
928541381
1014140000
117a88656
12489aa54
132c11084
141c410c0
15139496a
hexd7c260

14140000 has 120 divisors (see below), whose sum is σ = 40149648. Its totient is φ = 4800000.

The previous prime is 14139959. The next prime is 14140001. The reversal of 14140000 is 4141.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14140001) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 139950 + ... + 140050.

Almost surely, 214140000 is an apocalyptic number.

14140000 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 14140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20074824).

14140000 is an abundant number, since it is smaller than the sum of its proper divisors (26009648).

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

14140000 is an equidigital number, since it uses as much as digits as its factorization.

14140000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 14140000 is about 3760.3191353926. The cubic root of 14140000 is about 241.8149440154.

Adding to 14140000 its reverse (4141), we get a palindrome (14144141).

It can be divided in two parts, 14 and 140000, that multiplied together give a square (1960000 = 14002).

The spelling of 14140000 in words is "fourteen million, one hundred forty thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 70 80 100 101 112 125 140 160 175 200 202 224 250 280 350 400 404 500 505 560 625 700 707 800 808 875 1000 1010 1120 1250 1400 1414 1616 1750 2000 2020 2500 2525 2800 2828 3232 3500 3535 4000 4040 4375 5000 5050 5600 5656 7000 7070 8080 8750 10000 10100 11312 12625 14000 14140 16160 17500 17675 20000 20200 22624 25250 28000 28280 35000 35350 40400 50500 56560 63125 70000 70700 80800 88375 101000 113120 126250 140000 141400 176750 202000 252500 282800 353500 404000 441875 505000 565600 707000 883750 1010000 1414000 1767500 2020000 2828000 3535000 7070000 14140000