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21059820 = 22325791481
BaseRepresentation
bin101000001010…
…1100011101100
31110121221122100
41100111203230
520342403240
62031215100
7344001615
oct120254354
943557570
1021059820
1110984611
127077490
134494942
142b22c0c
151caee30
hex14158ec

21059820 has 72 divisors (see below), whose sum is σ = 64733760. Its totient is φ = 5541120.

The previous prime is 21059791. The next prime is 21059827. The reversal of 21059820 is 2895012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21059827) 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 23 ways as a sum of consecutive naturals, for example, 13480 + ... + 14960.

It is an arithmetic number, because the mean of its divisors is an integer number (899080).

Almost surely, 221059820 is an apocalyptic number.

21059820 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 21059820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32366880).

21059820 is an abundant number, since it is smaller than the sum of its proper divisors (43673940).

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

21059820 is a wasteful number, since it uses less digits than its factorization.

21059820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1575 (or 1570 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 21059820 is about 4589.0979505781. The cubic root of 21059820 is about 276.1541357071.

The spelling of 21059820 in words is "twenty-one million, fifty-nine thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 79 90 158 180 237 316 395 474 711 790 948 1185 1422 1481 1580 2370 2844 2962 3555 4443 4740 5924 7110 7405 8886 13329 14220 14810 17772 22215 26658 29620 44430 53316 66645 88860 116999 133290 233998 266580 350997 467996 584995 701994 1052991 1169990 1403988 1754985 2105982 2339980 3509970 4211964 5264955 7019940 10529910 21059820