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20828900 = 2252316719
BaseRepresentation
bin100111101110…
…1001011100100
31110012012212202
41033131023210
520313011100
62022234032
7342020441
oct117351344
943165782
1020828900
1110837074
126b85918
1344137c1
142aa29c8
151c667d5
hex13dd2e4

20828900 has 36 divisors (see below), whose sum is σ = 46663680. Its totient is φ = 8061600.

The previous prime is 20828897. The next prime is 20828911. The reversal of 20828900 is 982802.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 260 + ... + 6459.

Almost surely, 220828900 is an apocalyptic number.

20828900 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 20828900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23331840).

20828900 is an abundant number, since it is smaller than the sum of its proper divisors (25834780).

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

20828900 is a wasteful number, since it uses less digits than its factorization.

20828900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6764 (or 6757 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 29.

The square root of 20828900 is about 4563.8689727029. The cubic root of 20828900 is about 275.1410846311.

The spelling of 20828900 in words is "twenty million, eight hundred twenty-eight thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 31 50 62 100 124 155 310 620 775 1550 3100 6719 13438 26876 33595 67190 134380 167975 208289 335950 416578 671900 833156 1041445 2082890 4165780 5207225 10414450 20828900