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14210640 = 243551743
BaseRepresentation
bin110110001101…
…011001010000
3222201222100000
4312031121100
512114220030
61224330000
7231534303
oct66153120
928658300
1014210640
118026734
124913900
132c37282
141c5cb3a
1513aa860
hexd8d650

14210640 has 240 divisors, whose sum is σ = 53621568. Its totient is φ = 3483648.

The previous prime is 14210629. The next prime is 14210653. The reversal of 14210640 is 4601241.

14210640 is a `hidden beast` number, since 1 + 4 + 21 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 330459 + ... + 330501.

Almost surely, 214210640 is an apocalyptic number.

14210640 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 14210640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26810784).

14210640 is an abundant number, since it is smaller than the sum of its proper divisors (39410928).

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

14210640 is a wasteful number, since it uses less digits than its factorization.

14210640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 14210640 is about 3769.7002533358. The cubic root of 14210640 is about 242.2169581788.

Adding to 14210640 its reverse (4601241), we get a palindrome (18811881).

The spelling of 14210640 in words is "fourteen million, two hundred ten thousand, six hundred forty".