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14148540 = 22335719197
BaseRepresentation
bin110101111110…
…001110111100
3222121211011000
4311332032330
512110223130
61223130300
7231155250
oct65761674
928554130
1014148540
117a9400a
1248a3990
132c14c23
141c44260
151397260
hexd7e3bc

14148540 has 192 divisors, whose sum is σ = 53222400. Its totient is φ = 3048192.

The previous prime is 14148499. The next prime is 14148553. The reversal of 14148540 is 4584141.

14148540 = T287 + T288 + ... + T476.

It is a happy number.

14148540 is a `hidden beast` number, since 141 + 485 + 40 = 666.

14148540 is a nontrivial binomial coefficient, being equal to C(5320, 2).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 71722 + ... + 71918.

It is an arithmetic number, because the mean of its divisors is an integer number (277200).

Almost surely, 214148540 is an apocalyptic number.

14148540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

14148540 is the 5319-th triangular number and also the 2660-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14148540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26611200).

14148540 is an abundant number, since it is smaller than the sum of its proper divisors (39073860).

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

14148540 is a wasteful number, since it uses less digits than its factorization.

14148540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 14148540 is about 3761.4545059059. The cubic root of 14148540 is about 241.8636164344.

The spelling of 14148540 in words is "fourteen million, one hundred forty-eight thousand, five hundred forty".