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14094000 = 24355329
BaseRepresentation
bin110101110000…
…111010110000
3222112001100000
4311300322300
512102002000
61222030000
7230540244
oct65607260
928461300
1014094000
117a57038
124878300
132bc615b
141c2c424
151386000
hexd70eb0

14094000 has 240 divisors, whose sum is σ = 52809120. Its totient is φ = 3628800.

The previous prime is 14093999. The next prime is 14094001. The reversal of 14094000 is 49041.

14094000 = T411 + T412 + ... + T535.

14094000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (14093999) and next prime (14094001).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (14094001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 485986 + ... + 486014.

It is an arithmetic number, because the mean of its divisors is an integer number (220038).

Almost surely, 214094000 is an apocalyptic number.

14094000 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 14094000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26404560).

14094000 is an abundant number, since it is smaller than the sum of its proper divisors (38715120).

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

14094000 is an equidigital number, since it uses as much as digits as its factorization.

14094000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 14094000 is about 3754.1976506306. The cubic root of 14094000 is about 241.5524364360.

The spelling of 14094000 in words is "fourteen million, ninety-four thousand".