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14065920 = 283351137
BaseRepresentation
bin110101101010…
…000100000000
3222110121211000
4311222010000
512100102140
61221252000
7230362341
oct65520400
928417730
1014065920
117a37a30
124864000
132bb643b
141c220c8
15137ca30
hexd6a100

14065920 has 288 divisors, whose sum is σ = 55923840. Its totient is φ = 3317760.

The previous prime is 14065897. The next prime is 14065937. The reversal of 14065920 is 2956041.

14065920 is a `hidden beast` number, since 1 + 4 + 0 + 659 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 380142 + ... + 380178.

It is an arithmetic number, because the mean of its divisors is an integer number (194180).

Almost surely, 214065920 is an apocalyptic number.

14065920 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 14065920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27961920).

14065920 is an abundant number, since it is smaller than the sum of its proper divisors (41857920).

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

14065920 is a wasteful number, since it uses less digits than its factorization.

14065920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 14065920 is about 3750.4559722786. The cubic root of 14065920 is about 241.3919118169.

The spelling of 14065920 in words is "fourteen million, sixty-five thousand, nine hundred twenty".