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20886560 = 255314211
BaseRepresentation
bin100111110101…
…1010000100000
31110022010222022
41033223100200
520321332220
62023401012
7342350522
oct117532040
943263868
1020886560
1110876422
126bb3168
134433b16
142ab9a12
151c78925
hex13eb420

20886560 has 48 divisors (see below), whose sum is σ = 50948352. Its totient is φ = 8083200.

The previous prime is 20886559. The next prime is 20886563. The reversal of 20886560 is 6568802.

It is a self number, because there is not a number n which added to its sum of digits gives 20886560.

It is not an unprimeable number, because it can be changed into a prime (20886563) by changing a digit.

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, 2855 + ... + 7065.

It is an arithmetic number, because the mean of its divisors is an integer number (1061424).

Almost surely, 220886560 is an apocalyptic number.

20886560 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 20886560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25474176).

20886560 is an abundant number, since it is smaller than the sum of its proper divisors (30061792).

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

20886560 is a wasteful number, since it uses less digits than its factorization.

20886560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4257 (or 4249 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 35.

The square root of 20886560 is about 4570.1816156472. The cubic root of 20886560 is about 275.3947389002.

It can be divided in two parts, 208 and 86560, that added together give a palindrome (86768).

The spelling of 20886560 in words is "twenty million, eight hundred eighty-six thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 80 124 155 160 248 310 496 620 992 1240 2480 4211 4960 8422 16844 21055 33688 42110 67376 84220 130541 134752 168440 261082 336880 522164 652705 673760 1044328 1305410 2088656 2610820 4177312 5221640 10443280 20886560