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20824064 = 2143141
BaseRepresentation
bin100111101110…
…0000000000000
31110011222020122
41033130000000
520312332224
62022155412
7342000362
oct117340000
943158218
1020824064
1110833478
126b82b68
134411541
142aa0d32
151c6515e
hex13dc000

20824064 has 60 divisors (see below), whose sum is σ = 44038848. Its totient is φ = 9830400.

The previous prime is 20824051. The next prime is 20824073. The reversal of 20824064 is 46042802.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 507884 + ... + 507924.

Almost surely, 220824064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20824064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22019424).

20824064 is an abundant number, since it is smaller than the sum of its proper divisors (23214784).

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

20824064 is an frugal number, since it uses more digits than its factorization.

20824064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

The square root of 20824064 is about 4563.3391283138. The cubic root of 20824064 is about 275.1197891350.

Adding to 20824064 its reverse (46042802), we get a palindrome (66866866).

The spelling of 20824064 in words is "twenty million, eight hundred twenty-four thousand, sixty-four".

Divisors: 1 2 4 8 16 31 32 41 62 64 82 124 128 164 248 256 328 496 512 656 992 1024 1271 1312 1984 2048 2542 2624 3968 4096 5084 5248 7936 8192 10168 10496 15872 16384 20336 20992 31744 40672 41984 63488 81344 83968 126976 162688 167936 253952 325376 335872 507904 650752 671744 1301504 2603008 5206016 10412032 20824064