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14394000 = 243532399
BaseRepresentation
bin110110111010…
…001010010000
31000002021212010
4312322022100
512141102000
61232302520
7233230005
oct66721220
930067763
1014394000
118141475
1249a1a40
132c9c87a
141ca98ac
1513e4d50
hexdba290

14394000 has 80 divisors (see below), whose sum is σ = 46425600. Its totient is φ = 3836800.

The previous prime is 14393989. The next prime is 14394007. The reversal of 14394000 is 49341.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14394007) 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 15 ways as a sum of consecutive naturals, for example, 4801 + ... + 7199.

It is an arithmetic number, because the mean of its divisors is an integer number (580320).

Almost surely, 214394000 is an apocalyptic number.

14394000 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 14394000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23212800).

14394000 is an abundant number, since it is smaller than the sum of its proper divisors (32031600).

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

14394000 is a wasteful number, since it uses less digits than its factorization.

14394000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2425 (or 2409 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 14394000 is about 3793.9425404189. The cubic root of 14394000 is about 243.2542851177.

The spelling of 14394000 in words is "fourteen million, three hundred ninety-four thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1200 1500 2000 2399 3000 4798 6000 7197 9596 11995 14394 19192 23990 28788 35985 38384 47980 57576 59975 71970 95960 115152 119950 143940 179925 191920 239900 287880 299875 359850 479800 575760 599750 719700 899625 959600 1199500 1439400 1799250 2399000 2878800 3598500 4798000 7197000 14394000