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20044800 = 210335229
BaseRepresentation
bin100110001110…
…1110000000000
31101201101022000
41030131300000
520112413200
61553344000
7332243436
oct114356000
941641260
1020044800
1110350a56
126868000
1341ca939
14293ad56
151b5e300
hex131dc00

20044800 has 264 divisors, whose sum is σ = 76148400. Its totient is φ = 5160960.

The previous prime is 20044793. The next prime is 20044807. The reversal of 20044800 is 844002.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20044793) and next prime (20044807).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20044807) 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, 691186 + ... + 691214.

Almost surely, 220044800 is an apocalyptic number.

20044800 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 20044800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38074200).

20044800 is an abundant number, since it is smaller than the sum of its proper divisors (56103600).

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

20044800 is a wasteful number, since it uses less digits than its factorization.

20044800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 20044800 is about 4477.1419454826. The cubic root of 20044800 is about 271.6442870311.

Adding to 20044800 its reverse (844002), we get a palindrome (20888802).

The spelling of 20044800 in words is "twenty million, forty-four thousand, eight hundred".