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21205520 = 2457191993
BaseRepresentation
bin101000011100…
…1001000010000
31110220100111122
41100321020100
520412034040
62034301412
7345146450
oct120711020
943810448
1021205520
1110a74026
127127868
13451605b
142b5dd60
151cdd1b5
hex1439210

21205520 has 80 divisors (see below), whose sum is σ = 59341440. Its totient is φ = 6884352.

The previous prime is 21205453. The next prime is 21205523. The reversal of 21205520 is 2550212.

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

It is not an unprimeable number, because it can be changed into a prime (21205523) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9644 + ... + 11636.

It is an arithmetic number, because the mean of its divisors is an integer number (741768).

Almost surely, 221205520 is an apocalyptic number.

21205520 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 21205520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29670720).

21205520 is an abundant number, since it is smaller than the sum of its proper divisors (38135920).

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

21205520 is a wasteful number, since it uses less digits than its factorization.

21205520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2032 (or 2026 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 17.

The square root of 21205520 is about 4604.9451679689. The cubic root of 21205520 is about 276.7895198010.

Adding to 21205520 its reverse (2550212), we get a palindrome (23755732).

The spelling of 21205520 in words is "twenty-one million, two hundred five thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 28 35 38 40 56 70 76 80 95 112 133 140 152 190 266 280 304 380 532 560 665 760 1064 1330 1520 1993 2128 2660 3986 5320 7972 9965 10640 13951 15944 19930 27902 31888 37867 39860 55804 69755 75734 79720 111608 139510 151468 159440 189335 223216 265069 279020 302936 378670 530138 558040 605872 757340 1060276 1116080 1325345 1514680 2120552 2650690 3029360 4241104 5301380 10602760 21205520