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20123360 = 255173727
BaseRepresentation
bin100110011000…
…0111011100000
31101212101001122
41030300323200
520122421420
61555151412
7333021455
oct114607340
941771048
1020123360
11103a4a84
1268a5568
13422761a
14295b82c
151b77725
hex1330ee0

20123360 has 48 divisors (see below), whose sum is σ = 47882016. Its totient is φ = 7991808.

The previous prime is 20123347. The next prime is 20123377. The reversal of 20123360 is 6332102.

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 7 ways as a sum of consecutive naturals, for example, 27317 + ... + 28043.

It is an arithmetic number, because the mean of its divisors is an integer number (997542).

Almost surely, 220123360 is an apocalyptic number.

20123360 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 20123360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23941008).

20123360 is an abundant number, since it is smaller than the sum of its proper divisors (27758656).

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

20123360 is a wasteful number, since it uses less digits than its factorization.

20123360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 915 (or 907 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 20123360 is about 4485.9068202538. The cubic root of 20123360 is about 271.9987024160.

Adding to 20123360 its reverse (6332102), we get a palindrome (26455462).

The spelling of 20123360 in words is "twenty million, one hundred twenty-three thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 173 346 692 727 865 1384 1454 1730 2768 2908 3460 3635 5536 5816 6920 7270 11632 13840 14540 23264 27680 29080 58160 116320 125771 251542 503084 628855 1006168 1257710 2012336 2515420 4024672 5030840 10061680 20123360