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14040400 = 2452113191
BaseRepresentation
bin110101100011…
…110101010000
3222102022210211
4311203311100
512043243100
61220533504
7230225053
oct65436520
928368724
1014040400
117a1a840
124851294
132ba793a
141c16a9a
1513751ba
hexd63d50

14040400 has 60 divisors (see below), whose sum is σ = 36810144. Its totient is φ = 5104000.

The previous prime is 14040391. The next prime is 14040413. The reversal of 14040400 is 404041.

It is a happy number.

14040400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2805 + ... + 5995.

Almost surely, 214040400 is an apocalyptic number.

14040400 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 14040400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18405072).

14040400 is an abundant number, since it is smaller than the sum of its proper divisors (22769744).

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

14040400 is a wasteful number, since it uses less digits than its factorization.

14040400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3220 (or 3209 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 14040400 is about 3747.0521747101. The cubic root of 14040400 is about 241.2458365054.

Adding to 14040400 its reverse (404041), we get a palindrome (14444441).

The spelling of 14040400 in words is "fourteen million, forty thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 176 200 220 275 400 440 550 880 1100 2200 3191 4400 6382 12764 15955 25528 31910 35101 51056 63820 70202 79775 127640 140404 159550 175505 255280 280808 319100 351010 561616 638200 702020 877525 1276400 1404040 1755050 2808080 3510100 7020200 14040400