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20827530 = 23652857
BaseRepresentation
bin100111101110…
…0110110001010
31110012011000000
41033130312022
520312440110
62022223430
7342013443
oct117346612
943164000
1020827530
1110836039
126b84b76
134412ca9
142aa22ca
151c661c0
hex13dcd8a

20827530 has 56 divisors (see below), whose sum is σ = 56228292. Its totient is φ = 5552064.

The previous prime is 20827517. The next prime is 20827571. The reversal of 20827530 is 3572802.

It can be written as a sum of positive squares in 2 ways, for example, as 20820969 + 6561 = 4563^2 + 81^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 20827494 and 20827503.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 5862 + ... + 8718.

Almost surely, 220827530 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20827530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28114146).

20827530 is an abundant number, since it is smaller than the sum of its proper divisors (35400762).

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

20827530 is an equidigital number, since it uses as much as digits as its factorization.

20827530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2882 (or 2867 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 20827530 is about 4563.7188782834. The cubic root of 20827530 is about 275.1350521225.

The spelling of 20827530 in words is "twenty million, eight hundred twenty-seven thousand, five hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 243 270 405 486 729 810 1215 1458 2430 2857 3645 5714 7290 8571 14285 17142 25713 28570 42855 51426 77139 85710 128565 154278 231417 257130 385695 462834 694251 771390 1157085 1388502 2082753 2314170 3471255 4165506 6942510 10413765 20827530