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20208832 = 26779571
BaseRepresentation
bin100110100010…
…1110011000000
31102000201022021
41031011303000
520133140312
62001051224
7333525610
oct115056300
942021267
1020208832
1110453216
126926b14
1342574b7
142980a40
151b92c07
hex1345cc0

20208832 has 56 divisors (see below), whose sum is σ = 46492160. Its totient is φ = 8536320.

The previous prime is 20208829. The next prime is 20208833. The reversal of 20208832 is 23880202.

It is a tau number, because it is divible by the number of its divisors (56).

It is a junction number, because it is equal to n+sod(n) for n = 20208797 and 20208806.

It is not an unprimeable number, because it can be changed into a prime (20208833) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35107 + ... + 35677.

Almost surely, 220208832 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 20208832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23246080).

20208832 is an abundant number, since it is smaller than the sum of its proper divisors (26283328).

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

20208832 is an equidigital number, since it uses as much as digits as its factorization.

20208832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 669 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 20208832 is about 4495.4234505773. The cubic root of 20208832 is about 272.3832544262.

The spelling of 20208832 in words is "twenty million, two hundred eight thousand, eight hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 79 112 158 224 316 448 553 571 632 1106 1142 1264 2212 2284 2528 3997 4424 4568 5056 7994 8848 9136 15988 17696 18272 31976 35392 36544 45109 63952 90218 127904 180436 255808 315763 360872 631526 721744 1263052 1443488 2526104 2886976 5052208 10104416 20208832