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20205696 = 27377517
BaseRepresentation
bin100110100010…
…1000010000000
31102000120000010
41031011002000
520133040241
62001024520
7333513510
oct115050200
942016003
1020205696
1110450925
126925140
134255c44
14297d840
151b91d16
hex1345080

20205696 has 64 divisors (see below), whose sum is σ = 61346880. Its totient is φ = 5772288.

The previous prime is 20205623. The next prime is 20205697. The reversal of 20205696 is 69650202.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (20205697) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1071 + ... + 6446.

It is an arithmetic number, because the mean of its divisors is an integer number (958545).

Almost surely, 220205696 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 20205696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30673440).

20205696 is an abundant number, since it is smaller than the sum of its proper divisors (41141184).

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

20205696 is an equidigital number, since it uses as much as digits as its factorization.

20205696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7541 (or 7529 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 20205696 is about 4495.0746378675. The cubic root of 20205696 is about 272.3691642489.

Adding to 20205696 its reverse (69650202), we get a palindrome (89855898).

The spelling of 20205696 in words is "twenty million, two hundred five thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 384 448 672 896 1344 2688 7517 15034 22551 30068 45102 52619 60136 90204 105238 120272 157857 180408 210476 240544 315714 360816 420952 481088 631428 721632 841904 962176 1262856 1443264 1683808 2525712 2886528 3367616 5051424 6735232 10102848 20205696