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20371072 = 27612609
BaseRepresentation
bin100110110110…
…1011010000000
31102022221212011
41031231122000
520203333242
62004342304
7335102611
oct115553200
942287764
1020371072
11105540a7
1269a4994
1342b32b7
1429c3c08
151bc5d17
hex136d680

20371072 has 32 divisors (see below), whose sum is σ = 41264100. Its totient is φ = 10014720.

The previous prime is 20371051. The next prime is 20371073. The reversal of 20371072 is 27017302.

It can be written as a sum of positive squares in 2 ways, for example, as 18455616 + 1915456 = 4296^2 + 1384^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (20371073) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 6504 + ... + 9112.

Almost surely, 220371072 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 20371072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20632050).

20371072 is an abundant number, since it is smaller than the sum of its proper divisors (20893028).

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

20371072 is an equidigital number, since it uses as much as digits as its factorization.

20371072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2684 (or 2672 counting only the distinct ones).

The product of its (nonzero) digits is 588, while the sum is 22.

The square root of 20371072 is about 4513.4323967464. The cubic root of 20371072 is about 273.1102257646.

Adding to 20371072 its reverse (27017302), we get a palindrome (47388374).

The spelling of 20371072 in words is "twenty million, three hundred seventy-one thousand, seventy-two".

Divisors: 1 2 4 8 16 32 61 64 122 128 244 488 976 1952 2609 3904 5218 7808 10436 20872 41744 83488 159149 166976 318298 333952 636596 1273192 2546384 5092768 10185536 20371072