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14040000 = 26335413
BaseRepresentation
bin110101100011…
…101111000000
3222102022021000
4311203233000
512043240000
61220532000
7230223642
oct65435700
928368230
1014040000
117a1a507
124851000
132ba76c0
141c16892
151375000
hexd63bc0

14040000 has 280 divisors, whose sum is σ = 55544720. Its totient is φ = 3456000.

The previous prime is 14039953. The next prime is 14040001. The reversal of 14040000 is 4041.

14040000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14040001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1079994 + ... + 1080006.

It is an arithmetic number, because the mean of its divisors is an integer number (198374).

Almost surely, 214040000 is an apocalyptic number.

14040000 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 14040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27772360).

14040000 is an abundant number, since it is smaller than the sum of its proper divisors (41504720).

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

14040000 is an equidigital number, since it uses as much as digits as its factorization.

14040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 14040000 is about 3746.9987990390. The cubic root of 14040000 is about 241.2435455153.

Adding to 14040000 its reverse (4041), we get a palindrome (14044041).

The spelling of 14040000 in words is "fourteen million, forty thousand".