Search a number
-
+
20140110 = 233597769
BaseRepresentation
bin100110011010…
…1000001001110
31101220020001000
41030311001032
520123440420
61555401130
7333121344
oct114650116
941806030
1020140110
1110406621
1268b31a6
134232133
142963994
151b7c690
hex133504e

20140110 has 64 divisors (see below), whose sum is σ = 54331200. Its totient is φ = 5308416.

The previous prime is 20140097. The next prime is 20140151. The reversal of 20140110 is 1104102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 20140092 and 20140101.

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 31 ways as a sum of consecutive naturals, for example, 25806 + ... + 26574.

It is an arithmetic number, because the mean of its divisors is an integer number (848925).

Almost surely, 220140110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20140110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27165600).

20140110 is an abundant number, since it is smaller than the sum of its proper divisors (34191090).

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

20140110 is a wasteful number, since it uses less digits than its factorization.

20140110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 882 (or 876 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 20140110 is about 4487.7733900009. The cubic root of 20140110 is about 272.0741489744.

Adding to 20140110 its reverse (1104102), we get a palindrome (21244212).

The spelling of 20140110 in words is "twenty million, one hundred forty thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 97 135 194 270 291 485 582 769 873 970 1455 1538 1746 2307 2619 2910 3845 4365 4614 5238 6921 7690 8730 11535 13095 13842 20763 23070 26190 34605 41526 69210 74593 103815 149186 207630 223779 372965 447558 671337 745930 1118895 1342674 2014011 2237790 3356685 4028022 6713370 10070055 20140110