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14148000 = 253353131
BaseRepresentation
bin110101111110…
…000110100000
3222121210102000
4311332012200
512110214000
61223124000
7231153546
oct65760640
928553360
1014148000
117a93669
1248a3600
132c148c9
141c43d96
151397000
hexd7e1a0

14148000 has 192 divisors, whose sum is σ = 51891840. Its totient is φ = 3744000.

The previous prime is 14147999. The next prime is 14148007. The reversal of 14148000 is 84141.

14148000 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14148007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 107935 + ... + 108065.

It is an arithmetic number, because the mean of its divisors is an integer number (270270).

Almost surely, 214148000 is an apocalyptic number.

14148000 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 14148000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25945920).

14148000 is an abundant number, since it is smaller than the sum of its proper divisors (37743840).

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

14148000 is a wasteful number, since it uses less digits than its factorization.

14148000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 14148000 is about 3761.3827244778. The cubic root of 14148000 is about 241.8605393674.

The spelling of 14148000 in words is "fourteen million, one hundred forty-eight thousand".