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14132160 = 263257701
BaseRepresentation
bin110101111010…
…001111000000
3222120222200100
4311322033000
512104212120
61222522400
7231056430
oct65721700
928528610
1014132160
117a82779
124896400
132c0a633
141c3c2c0
151392490
hexd7a3c0

14132160 has 168 divisors, whose sum is σ = 55632096. Its totient is φ = 3225600.

The previous prime is 14132141. The next prime is 14132191. The reversal of 14132160 is 6123141.

It is a happy number.

14132160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (168).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19810 + ... + 20510.

Almost surely, 214132160 is an apocalyptic number.

14132160 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 14132160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27816048).

14132160 is an abundant number, since it is smaller than the sum of its proper divisors (41499936).

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

14132160 is a wasteful number, since it uses less digits than its factorization.

14132160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 731 (or 718 counting only the distinct ones).

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

The square root of 14132160 is about 3759.2765261417. The cubic root of 14132160 is about 241.7702438821.

The spelling of 14132160 in words is "fourteen million, one hundred thirty-two thousand, one hundred sixty".