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20108880 = 24325112539
BaseRepresentation
bin100110010110…
…1011001010000
31101211122012100
41030231121100
520121441010
61555000400
7332631321
oct114553120
941748170
1020108880
1110395110
126899100
134220b5c
142956448
151b732c0
hex132d650

20108880 has 120 divisors (see below), whose sum is σ = 73700640. Its totient is φ = 4872960.

The previous prime is 20108873. The next prime is 20108917. The reversal of 20108880 is 8880102.

It is a tau number, because it is divible by the number of its divisors (120).

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 23 ways as a sum of consecutive naturals, for example, 6651 + ... + 9189.

It is an arithmetic number, because the mean of its divisors is an integer number (614172).

Almost surely, 220108880 is an apocalyptic number.

20108880 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 20108880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36850320).

20108880 is an abundant number, since it is smaller than the sum of its proper divisors (53591760).

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

20108880 is a wasteful number, since it uses less digits than its factorization.

20108880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2569 (or 2560 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The square root of 20108880 is about 4484.2925863507. The cubic root of 20108880 is about 271.9334468082.

Adding to 20108880 its reverse (8880102), we get a palindrome (28988982).

It can be divided in two parts, 20 and 108880, that added together give a square (108900 = 3302).

The spelling of 20108880 in words is "twenty million, one hundred eight thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 30 33 36 40 44 45 48 55 60 66 72 80 88 90 99 110 120 132 144 165 176 180 198 220 240 264 330 360 396 440 495 528 660 720 792 880 990 1320 1584 1980 2539 2640 3960 5078 7617 7920 10156 12695 15234 20312 22851 25390 27929 30468 38085 40624 45702 50780 55858 60936 76170 83787 91404 101560 111716 114255 121872 139645 152340 167574 182808 203120 223432 228510 251361 279290 304680 335148 365616 418935 446864 457020 502722 558580 609360 670296 837870 914040 1005444 1117160 1256805 1340592 1675740 1828080 2010888 2234320 2513610 3351480 4021776 5027220 6702960 10054440 20108880