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12394000 = 24536197
BaseRepresentation
bin101111010001…
…111000010000
3212022200101001
4233101320100
511133102000
61121351344
7210230053
oct57217020
925280331
1012394000
116aa5883
124198554
13274c438
141908a9a
15114c46a
hexbd1e10

12394000 has 40 divisors (see below), whose sum is σ = 29973528. Its totient is φ = 4956800.

The previous prime is 12393971. The next prime is 12394007. The reversal of 12394000 is 49321.

It can be written as a sum of positive squares in 4 ways, for example, as 861184 + 11532816 = 928^2 + 3396^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×123940002 = 307222472000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12394007) 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 7 ways as a sum of consecutive naturals, for example, 1099 + ... + 5098.

Almost surely, 212394000 is an apocalyptic number.

12394000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12394000 is an abundant number, since it is smaller than the sum of its proper divisors (17579528).

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

12394000 is an equidigital number, since it uses as much as digits as its factorization.

12394000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6220 (or 6204 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 12394000 is about 3520.5113264979. The cubic root of 12394000 is about 231.4215673481.

The spelling of 12394000 in words is "twelve million, three hundred ninety-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 6197 12394 24788 30985 49576 61970 99152 123940 154925 247880 309850 495760 619700 774625 1239400 1549250 2478800 3098500 6197000 12394000