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20827392 = 28347577
BaseRepresentation
bin100111101110…
…0110100000000
31110012010210220
41033130310000
520312434032
62022223040
7342013155
oct117346400
943163726
1020827392
1110835a23
126b84a80
134412c01
142aa222c
151c6612c
hex13dcd00

20827392 has 72 divisors (see below), whose sum is σ = 56708736. Its totient is φ = 6782976.

The previous prime is 20827349. The next prime is 20827403. The reversal of 20827392 is 29372802.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 35808 + ... + 36384.

Almost surely, 220827392 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 20827392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28354368).

20827392 is an abundant number, since it is smaller than the sum of its proper divisors (35881344).

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

20827392 is an equidigital number, since it uses as much as digits as its factorization.

20827392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 643 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 20827392 is about 4563.7037590098. The cubic root of 20827392 is about 275.1344444537.

The spelling of 20827392 in words is "twenty million, eight hundred twenty-seven thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 64 94 96 128 141 188 192 256 282 376 384 564 577 752 768 1128 1154 1504 1731 2256 2308 3008 3462 4512 4616 6016 6924 9024 9232 12032 13848 18048 18464 27119 27696 36096 36928 54238 55392 73856 81357 108476 110784 147712 162714 216952 221568 325428 433904 443136 650856 867808 1301712 1735616 2603424 3471232 5206848 6942464 10413696 20827392