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21191820 = 223513101269
BaseRepresentation
bin101000011010…
…1110010001100
31110212122201020
41100311302030
520411114240
62034114140
7345061506
oct120656214
943778636
1021191820
1110a64801
12711b950
13450ca50
142b58d76
151cd90d0
hex1435c8c

21191820 has 96 divisors (see below), whose sum is σ = 64774080. Its totient is φ = 5145600.

The previous prime is 21191813. The next prime is 21191831. The reversal of 21191820 is 2819112.

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 31 ways as a sum of consecutive naturals, for example, 78646 + ... + 78914.

It is an arithmetic number, because the mean of its divisors is an integer number (674730).

Almost surely, 221191820 is an apocalyptic number.

21191820 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 21191820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32387040).

21191820 is an abundant number, since it is smaller than the sum of its proper divisors (43582260).

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

21191820 is a wasteful number, since it uses less digits than its factorization.

21191820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 24.

The square root of 21191820 is about 4603.4573963490. The cubic root of 21191820 is about 276.7298995805.

The spelling of 21191820 in words is "twenty-one million, one hundred ninety-one thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 101 130 156 195 202 260 269 303 390 404 505 538 606 780 807 1010 1076 1212 1313 1345 1515 1614 2020 2626 2690 3030 3228 3497 3939 4035 5252 5380 6060 6565 6994 7878 8070 10491 13130 13988 15756 16140 17485 19695 20982 26260 27169 34970 39390 41964 52455 54338 69940 78780 81507 104910 108676 135845 163014 209820 271690 326028 353197 407535 543380 706394 815070 1059591 1412788 1630140 1765985 2119182 3531970 4238364 5297955 7063940 10595910 21191820