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20830800 = 2435217359
BaseRepresentation
bin100111101110…
…1101001010000
31110012022111010
41033131221100
520313041200
62022250520
7342026124
oct117355120
943168433
1020830800
1110838541
126b86a40
134414623
142aa3584
151c67150
hex13dda50

20830800 has 60 divisors (see below), whose sum is σ = 66731840. Its totient is φ = 5554560.

The previous prime is 20830751. The next prime is 20830807. The reversal of 20830800 is 803802.

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20830807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7480 + ... + 9879.

Almost surely, 220830800 is an apocalyptic number.

20830800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20830800 is an abundant number, since it is smaller than the sum of its proper divisors (45901040).

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

20830800 is a wasteful number, since it uses less digits than its factorization.

20830800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17380 (or 17369 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 20830800 is about 4564.0771246770. The cubic root of 20830800 is about 275.1494504460.

The spelling of 20830800 in words is "twenty million, eight hundred thirty thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 17359 34718 52077 69436 86795 104154 138872 173590 208308 260385 277744 347180 416616 433975 520770 694360 833232 867950 1041540 1301925 1388720 1735900 2083080 2603850 3471800 4166160 5207700 6943600 10415400 20830800