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20697768 = 23377132
BaseRepresentation
bin100111011110…
…1001010101000
31102221120000000
41032331022220
520244312033
62015343000
7340633230
oct116751250
942846000
1020697768
11107575a3
126b21a60
134398c00
142a6acc0
151c3ca13
hex13bd2a8

20697768 has 192 divisors, whose sum is σ = 72028800. Its totient is φ = 5458752.

The previous prime is 20697757. The next prime is 20697779. The reversal of 20697768 is 86779602.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20697757) and next prime (20697779).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1592130 + ... + 1592142.

It is an arithmetic number, because the mean of its divisors is an integer number (375150).

Almost surely, 220697768 is an apocalyptic number.

20697768 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20697768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36014400).

20697768 is an abundant number, since it is smaller than the sum of its proper divisors (51331032).

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

20697768 is an equidigital number, since it uses as much as digits as its factorization.

20697768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 20697768 is about 4549.4799702823. The cubic root of 20697768 is about 274.5624689861.

The spelling of 20697768 in words is "twenty million, six hundred ninety-seven thousand, seven hundred sixty-eight".