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14000112 = 24327171943
BaseRepresentation
bin110101011001…
…111111110000
3222100021112200
4311121333300
512041000422
61220023200
7226666440
oct65317760
928307480
1014000112
1179a2545
124831b00
132b924b9
141c06120
1513682ac
hexd59ff0

14000112 has 240 divisors, whose sum is σ = 51068160. Its totient is φ = 3483648.

The previous prime is 14000089. The next prime is 14000141. The reversal of 14000112 is 21100041.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 14000094 and 14000103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 325563 + ... + 325605.

It is an arithmetic number, because the mean of its divisors is an integer number (212784).

Almost surely, 214000112 is an apocalyptic number.

14000112 is a gapful number since it is divisible by the number (12) 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 14000112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25534080).

14000112 is an abundant number, since it is smaller than the sum of its proper divisors (37068048).

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

14000112 is a wasteful number, since it uses less digits than its factorization.

14000112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 14000112 is about 3741.6723533736. The cubic root of 14000112 is about 241.0148691204.

Adding to 14000112 its reverse (21100041), we get a palindrome (35100153).

The spelling of 14000112 in words is "fourteen million, one hundred twelve", and thus it is an aban number.