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14005992 = 23371121353
BaseRepresentation
bin110101011011…
…011011101000
3222100120121110
4311123123220
512041142432
61220110320
7230022540
oct65333350
928316543
1014005992
1179a6a00
1248353a0
132b95090
141c08320
151369dcc
hexd5b6e8

14005992 has 192 divisors, whose sum is σ = 48263040. Its totient is φ = 3294720.

The previous prime is 14005991. The next prime is 14005993. The reversal of 14005992 is 29950041.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (14005991) and next prime (14005993).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14005991) 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, 264238 + ... + 264290.

It is an arithmetic number, because the mean of its divisors is an integer number (251370).

Almost surely, 214005992 is an apocalyptic number.

14005992 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 14005992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24131520).

14005992 is an abundant number, since it is smaller than the sum of its proper divisors (34257048).

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

14005992 is a wasteful number, since it uses less digits than its factorization.

14005992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 30.

The square root of 14005992 is about 3742.4580157966. The cubic root of 14005992 is about 241.0486062094.

Subtracting 14005992 from its reverse (29950041), we obtain a square (15944049 = 39932).

The spelling of 14005992 in words is "fourteen million, five thousand, nine hundred ninety-two".