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14241400 = 2352312297
BaseRepresentation
bin110110010100…
…111001111000
3222210112112021
4312110321320
512121211100
61225124224
7232023055
oct66247170
928715467
1014241400
118047858
124929674
132c48284
141c6a02c
1513b4a1a
hexd94e78

14241400 has 48 divisors (see below), whose sum is σ = 34194240. Its totient is φ = 5510400.

The previous prime is 14241397. The next prime is 14241421. The reversal of 14241400 is 414241.

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 11 ways as a sum of consecutive naturals, for example, 5052 + ... + 7348.

It is an arithmetic number, because the mean of its divisors is an integer number (712380).

Almost surely, 214241400 is an apocalyptic number.

14241400 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 14241400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17097120).

14241400 is an abundant number, since it is smaller than the sum of its proper divisors (19952840).

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

14241400 is a wasteful number, since it uses less digits than its factorization.

14241400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2344 (or 2335 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 14241400 is about 3773.7779478925. Note that the first 3 decimals coincide. The cubic root of 14241400 is about 242.3915978455.

Adding to 14241400 its reverse (414241), we get a palindrome (14655641).

It can be divided in two parts, 14241 and 400, that added together give a palindrome (14641).

The spelling of 14241400 in words is "fourteen million, two hundred forty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 31 40 50 62 100 124 155 200 248 310 620 775 1240 1550 2297 3100 4594 6200 9188 11485 18376 22970 45940 57425 71207 91880 114850 142414 229700 284828 356035 459400 569656 712070 1424140 1780175 2848280 3560350 7120700 14241400