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20345472 = 27337292
BaseRepresentation
bin100110110011…
…1001010000000
31102021122202000
41031213022000
520202023342
62004024000
7334635150
oct115471200
942248660
1020345472
1110536944
126992000
1342a4754
1429b8760
151bbd44c
hex1367280

20345472 has 192 divisors, whose sum is σ = 71073600. Its totient is φ = 5612544.

The previous prime is 20345453. The next prime is 20345477. The reversal of 20345472 is 27454302.

20345472 is a `hidden beast` number, since 203 + 454 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (20345477) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 701554 + ... + 701582.

It is an arithmetic number, because the mean of its divisors is an integer number (370175).

Almost surely, 220345472 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 20345472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35536800).

20345472 is an abundant number, since it is smaller than the sum of its proper divisors (50728128).

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

20345472 is an equidigital number, since it uses as much as digits as its factorization.

20345472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 20345472 is about 4510.5955260919. The cubic root of 20345472 is about 272.9957733919.

Adding to 20345472 its reverse (27454302), we get a palindrome (47799774).

The spelling of 20345472 in words is "twenty million, three hundred forty-five thousand, four hundred seventy-two".