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20315680 = 2557111797
BaseRepresentation
bin100110101111…
…1111000100000
31102020010212121
41031133320200
520200100210
62003234024
7334452250
oct115377040
942203777
1020315680
1110516520
126978914
134294018
1429ab960
151bb46da
hex135fe20

20315680 has 192 divisors, whose sum is σ = 64012032. Its totient is φ = 5898240.

The previous prime is 20315677. The next prime is 20315699. The reversal of 20315680 is 8651302.

It is a happy number.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 209392 + ... + 209488.

It is an arithmetic number, because the mean of its divisors is an integer number (333396).

Almost surely, 220315680 is an apocalyptic number.

20315680 is a gapful number since it is divisible by the number (20) 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 20315680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32006016).

20315680 is an abundant number, since it is smaller than the sum of its proper divisors (43696352).

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

20315680 is a wasteful number, since it uses less digits than its factorization.

20315680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 20315680 is about 4507.2918698482. The cubic root of 20315680 is about 272.8624585018.

Adding to 20315680 its reverse (8651302), we get a palindrome (28966982).

The spelling of 20315680 in words is "twenty million, three hundred fifteen thousand, six hundred eighty".