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20140065 = 32511232961
BaseRepresentation
bin100110011010…
…1000000100001
31101220012222100
41030311000201
520123440230
61555401013
7333121251
oct114650041
941805870
1020140065
1110406590
1268b3169
1342320ca
142963961
151b7c660
hex1335021

20140065 has 96 divisors (see below), whose sum is σ = 41783040. Its totient is φ = 8870400.

The previous prime is 20140031. The next prime is 20140067. The reversal of 20140065 is 56004102.

It is a happy number.

20140065 is a `hidden beast` number, since 201 + 400 + 65 = 666.

It is not a de Polignac number, because 20140065 - 27 = 20139937 is a prime.

It is a Curzon number.

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 95 ways as a sum of consecutive naturals, for example, 330135 + ... + 330195.

It is an arithmetic number, because the mean of its divisors is an integer number (435240).

Almost surely, 220140065 is an apocalyptic number.

It is an amenable number.

20140065 is an abundant number, since it is smaller than the sum of its proper divisors (21642975).

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

20140065 is a wasteful number, since it uses less digits than its factorization.

20140065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 20140065 is about 4487.7683763759. The cubic root of 20140065 is about 272.0739463382.

Adding to 20140065 its reverse (56004102), we get a palindrome (76144167).

The spelling of 20140065 in words is "twenty million, one hundred forty thousand, sixty-five".

Divisors: 1 3 5 9 11 15 23 29 33 45 55 61 69 87 99 115 145 165 183 207 253 261 305 319 345 435 495 549 667 671 759 915 957 1035 1265 1305 1403 1595 1769 2001 2013 2277 2745 2871 3335 3355 3795 4209 4785 5307 6003 6039 7015 7337 8845 10005 10065 11385 12627 14355 15433 15921 19459 21045 22011 26535 30015 30195 36685 40687 46299 58377 63135 66033 77165 79605 97295 110055 122061 138897 175131 203435 231495 291885 330165 366183 447557 610305 694485 875655 1342671 1830915 2237785 4028013 6713355 20140065