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20116560 = 2435791061
BaseRepresentation
bin100110010111…
…1010001010000
31101212000201210
41030233101100
520122212220
61555100120
7332662602
oct114572120
941760653
1020116560
111039a962
1268a1640
1342244b9
142959172
151b756e0
hex132f450

20116560 has 80 divisors (see below), whose sum is σ = 63210240. Its totient is φ = 5291520.

The previous prime is 20116543. The next prime is 20116619. The reversal of 20116560 is 6561102.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 18430 + ... + 19490.

It is an arithmetic number, because the mean of its divisors is an integer number (790128).

Almost surely, 220116560 is an apocalyptic number.

20116560 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 20116560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31605120).

20116560 is an abundant number, since it is smaller than the sum of its proper divisors (43093680).

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

20116560 is a wasteful number, since it uses less digits than its factorization.

20116560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1156 (or 1150 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 20116560 is about 4485.1488269622. The cubic root of 20116560 is about 271.9680614171.

Adding to 20116560 its reverse (6561102), we get a palindrome (26677662).

It can be divided in two parts, 201 and 16560, that added together give a palindrome (16761).

The spelling of 20116560 in words is "twenty million, one hundred sixteen thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 79 80 120 158 237 240 316 395 474 632 790 948 1061 1185 1264 1580 1896 2122 2370 3160 3183 3792 4244 4740 5305 6320 6366 8488 9480 10610 12732 15915 16976 18960 21220 25464 31830 42440 50928 63660 83819 84880 127320 167638 251457 254640 335276 419095 502914 670552 838190 1005828 1257285 1341104 1676380 2011656 2514570 3352760 4023312 5029140 6705520 10058280 20116560