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20445696 = 29341729
BaseRepresentation
bin100110111111…
…1101000000000
31102110202020000
41031333220000
520213230241
62010120000
7335533305
oct115775000
942422200
1020445696
11105a5177
126a20000
13430b25b
142a030ac
151bdceb6
hex137fa00

20445696 has 200 divisors, whose sum is σ = 66842820. Its totient is φ = 6193152.

The previous prime is 20445637. The next prime is 20445697. The reversal of 20445696 is 69654402.

It can be written as a sum of positive squares in 2 ways, for example, as 19927296 + 518400 = 4464^2 + 720^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 20445696.

It is not an unprimeable number, because it can be changed into a prime (20445697) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 705010 + ... + 705038.

Almost surely, 220445696 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 20445696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33421410).

20445696 is an abundant number, since it is smaller than the sum of its proper divisors (46397124).

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

20445696 is an equidigital number, since it uses as much as digits as its factorization.

20445696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 20445696 is about 4521.6917188150. The cubic root of 20445696 is about 273.4433082478.

The spelling of 20445696 in words is "twenty million, four hundred forty-five thousand, six hundred ninety-six".