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20840800 = 2552109239
BaseRepresentation
bin100111110000…
…0000101100000
31110012211012111
41033200011200
520313401200
62022405104
7342100231
oct117400540
943184174
1020840800
1110845002
126b90794
134419046
142aa7088
151c6a0ba
hex13e0160

20840800 has 72 divisors (see below), whose sum is σ = 51559200. Its totient is φ = 8225280.

The previous prime is 20840789. The next prime is 20840837. The reversal of 20840800 is 804802.

It is a congruent number.

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, 87081 + ... + 87319.

It is an arithmetic number, because the mean of its divisors is an integer number (716100).

Almost surely, 220840800 is an apocalyptic number.

20840800 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 20840800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25779600).

20840800 is an abundant number, since it is smaller than the sum of its proper divisors (30718400).

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

20840800 is a wasteful number, since it uses less digits than its factorization.

20840800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

The square root of 20840800 is about 4565.1725049553. The cubic root of 20840800 is about 275.1934726683.

The spelling of 20840800 in words is "twenty million, eight hundred forty thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 109 160 200 218 239 400 436 478 545 800 872 956 1090 1195 1744 1912 2180 2390 2725 3488 3824 4360 4780 5450 5975 7648 8720 9560 10900 11950 17440 19120 21800 23900 26051 38240 43600 47800 52102 87200 95600 104204 130255 191200 208408 260510 416816 521020 651275 833632 1042040 1302550 2084080 2605100 4168160 5210200 10420400 20840800