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20110040 = 235717397
BaseRepresentation
bin100110010110…
…1101011011000
31101211200210022
41030231223120
520122010130
61555010012
7332634566
oct114555330
941750708
1020110040
1110395a75
126899908
134221542
142956a36
151b737e5
hex132dad8

20110040 has 64 divisors (see below), whose sum is σ = 46992960. Its totient is φ = 7741440.

The previous prime is 20109989. The next prime is 20110043. The reversal of 20110040 is 4001102.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20110043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 207272 + ... + 207368.

It is an arithmetic number, because the mean of its divisors is an integer number (734265).

Almost surely, 220110040 is an apocalyptic number.

20110040 is a gapful number since it is divisible by the number (20) 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 20110040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23496480).

20110040 is an abundant number, since it is smaller than the sum of its proper divisors (26882920).

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

20110040 is a wasteful number, since it uses less digits than its factorization.

20110040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 248 counting only the distinct ones).

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

The square root of 20110040 is about 4484.4219248416. The cubic root of 20110040 is about 271.9386756214.

Adding to 20110040 its reverse (4001102), we get a palindrome (24111142).

The spelling of 20110040 in words is "twenty million, one hundred ten thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 71 73 97 142 146 194 284 292 355 365 388 485 568 584 710 730 776 970 1420 1460 1940 2840 2920 3880 5183 6887 7081 10366 13774 14162 20732 25915 27548 28324 34435 35405 41464 51830 55096 56648 68870 70810 103660 137740 141620 207320 275480 283240 502751 1005502 2011004 2513755 4022008 5027510 10055020 20110040