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14664720 = 2435722943
BaseRepresentation
bin110111111100…
…010000010000
31000121001012210
4313330100100
512223232340
61242152120
7235435200
oct67742020
930531183
1014664720
118306904
124ab2640
133065b65
141d3a400
15144a180
hexdfc410

14664720 has 240 divisors, whose sum is σ = 55978560. Its totient is φ = 3161088.

The previous prime is 14664709. The next prime is 14664721. The reversal of 14664720 is 2746641.

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 (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14664721) by changing a digit.

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, 341019 + ... + 341061.

It is an arithmetic number, because the mean of its divisors is an integer number (233244).

Almost surely, 214664720 is an apocalyptic number.

14664720 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 14664720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27989280).

14664720 is an abundant number, since it is smaller than the sum of its proper divisors (41313840).

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

14664720 is a wasteful number, since it uses less digits than its factorization.

14664720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 14664720 is about 3829.4542692138. The cubic root of 14664720 is about 244.7698518984.

The spelling of 14664720 in words is "fourteen million, six hundred sixty-four thousand, seven hundred twenty".