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20696096 = 25312673
BaseRepresentation
bin100111011110…
…0110000100000
31102221110201002
41032330300200
520244233341
62015331132
7340625321
oct116746040
942843632
1020696096
1110756313
126b20aa8
134398215
142a6a448
151c3c29b
hex13bcc20

20696096 has 36 divisors (see below), whose sum is σ = 42164766. Its totient is φ = 9999360.

The previous prime is 20696077. The next prime is 20696119. The reversal of 20696096 is 69069602.

It can be written as a sum of positive squares in only one way, i.e., 18835600 + 1860496 = 4340^2 + 1364^2 .

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 5 ways as a sum of consecutive naturals, for example, 30416 + ... + 31088.

Almost surely, 220696096 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 20696096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21082383).

20696096 is an abundant number, since it is smaller than the sum of its proper divisors (21468670).

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

20696096 is an equidigital number, since it uses as much as digits as its factorization.

20696096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 745 (or 706 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 38.

The square root of 20696096 is about 4549.2962093053. The cubic root of 20696096 is about 274.5550755832. Note that the first 3 decimals are identical.

The spelling of 20696096 in words is "twenty million, six hundred ninety-six thousand, ninety-six".

Divisors: 1 2 4 8 16 31 32 62 124 248 496 673 961 992 1346 1922 2692 3844 5384 7688 10768 15376 20863 21536 30752 41726 83452 166904 333808 646753 667616 1293506 2587012 5174024 10348048 20696096