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20050400 = 255271353
BaseRepresentation
bin100110001111…
…1000111100000
31101201122222102
41030133013200
520113103100
61553425532
7332265656
oct114370740
941648872
1020050400
1110355187
12686b2a8
134200356
14293cdd6
151b60cd5
hex131f1e0

20050400 has 72 divisors (see below), whose sum is σ = 49778064. Its totient is φ = 7884800.

The previous prime is 20050391. The next prime is 20050403. The reversal of 20050400 is 405002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20050403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 56624 + ... + 56976.

It is an arithmetic number, because the mean of its divisors is an integer number (691362).

Almost surely, 220050400 is an apocalyptic number.

20050400 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 20050400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24889032).

20050400 is an abundant number, since it is smaller than the sum of its proper divisors (29727664).

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

20050400 is a wasteful number, since it uses less digits than its factorization.

20050400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 11.

The square root of 20050400 is about 4477.7673007873. The cubic root of 20050400 is about 271.6695814777.

Adding to 20050400 its reverse (405002), we get a palindrome (20455402).

The spelling of 20050400 in words is "twenty million, fifty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 71 80 100 142 160 200 284 353 355 400 568 706 710 800 1136 1412 1420 1765 1775 2272 2824 2840 3530 3550 5648 5680 7060 7100 8825 11296 11360 14120 14200 17650 25063 28240 28400 35300 50126 56480 56800 70600 100252 125315 141200 200504 250630 282400 401008 501260 626575 802016 1002520 1253150 2005040 2506300 4010080 5012600 10025200 20050400