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20886580 = 225111367109
BaseRepresentation
bin100111110101…
…1010000110100
31110022011000001
41033223100310
520321332310
62023401044
7342350551
oct117532064
943264001
1020886580
1110876440
126bb3184
134433b30
142ab9a28
151c7893a
hex13eb434

20886580 has 96 divisors (see below), whose sum is σ = 52778880. Its totient is φ = 6842880.

The previous prime is 20886571. The next prime is 20886587. The reversal of 20886580 is 8568802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20886587) 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 31 ways as a sum of consecutive naturals, for example, 191566 + ... + 191674.

It is an arithmetic number, because the mean of its divisors is an integer number (549780).

Almost surely, 220886580 is an apocalyptic number.

20886580 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 20886580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26389440).

20886580 is an abundant number, since it is smaller than the sum of its proper divisors (31892300).

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

20886580 is a wasteful number, since it uses less digits than its factorization.

20886580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 37.

The square root of 20886580 is about 4570.1838037436. The cubic root of 20886580 is about 275.3948268019.

It can be divided in two parts, 2088 and 6580, that added together give a palindrome (8668).

The spelling of 20886580 in words is "twenty million, eight hundred eighty-six thousand, five hundred eighty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 67 109 110 130 134 143 218 220 260 268 286 335 436 545 572 670 715 737 871 1090 1199 1340 1417 1430 1474 1742 2180 2398 2834 2860 2948 3484 3685 4355 4796 5668 5995 7085 7303 7370 8710 9581 11990 14170 14606 14740 15587 17420 19162 23980 28340 29212 31174 36515 38324 47905 62348 73030 77935 80333 94939 95810 146060 155870 160666 189878 191620 311740 321332 379756 401665 474695 803330 949390 1044329 1606660 1898780 2088658 4177316 5221645 10443290 20886580