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20140064 = 257471913
BaseRepresentation
bin100110011010…
…1000000100000
31101220012222022
41030311000200
520123440224
61555401012
7333121250
oct114650040
941805868
1020140064
111040658a
1268b3168
1342320c9
142963960
151b7c65e
hex1335020

20140064 has 48 divisors (see below), whose sum is σ = 46303488. Its totient is φ = 8443392.

The previous prime is 20140031. The next prime is 20140067. The reversal of 20140064 is 46004102.

It is not an unprimeable number, because it can be changed into a prime (20140067) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9572 + ... + 11484.

It is an arithmetic number, because the mean of its divisors is an integer number (964656).

Almost surely, 220140064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20140064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23151744).

20140064 is an abundant number, since it is smaller than the sum of its proper divisors (26163424).

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

20140064 is a wasteful number, since it uses less digits than its factorization.

20140064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1977 (or 1969 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 20140064 is about 4487.7682649620. The cubic root of 20140064 is about 272.0739418352.

Adding to 20140064 its reverse (46004102), we get a palindrome (66144166).

The spelling of 20140064 in words is "twenty million, one hundred forty thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 47 56 94 112 188 224 329 376 658 752 1316 1504 1913 2632 3826 5264 7652 10528 13391 15304 26782 30608 53564 61216 89911 107128 179822 214256 359644 428512 629377 719288 1258754 1438576 2517508 2877152 5035016 10070032 20140064