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13968000 = 27325397
BaseRepresentation
bin110101010010…
…001010000000
3222021122111100
4311102022000
512033434000
61215214400
7226504014
oct65221200
928248440
1013968000
117980402
124817400
132b809b7
141bd8544
15135da00
hexd52280

13968000 has 192 divisors, whose sum is σ = 50679720. Its totient is φ = 3686400.

The previous prime is 13967957. The next prime is 13968001. The reversal of 13968000 is 86931.

It can be written as a sum of positive squares in 4 ways, for example, as 3779136 + 10188864 = 1944^2 + 3192^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (13968001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 143952 + ... + 144048.

Almost surely, 213968000 is an apocalyptic number.

13968000 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 13968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25339860).

13968000 is an abundant number, since it is smaller than the sum of its proper divisors (36711720).

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

13968000 is an equidigital number, since it uses as much as digits as its factorization.

13968000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 13968000 is about 3737.3787605754. The cubic root of 13968000 is about 240.8304564443.

The spelling of 13968000 in words is "thirteen million, nine hundred sixty-eight thousand".