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20804220 = 22325412819
BaseRepresentation
bin100111101011…
…1001001111100
31110010222000200
41033113021330
520311213340
62021523500
7341555463
oct117271174
943128020
1020804220
111081a578
126b73590
1344054b8
142a979da
151c5e330
hex13d727c

20804220 has 72 divisors (see below), whose sum is σ = 64668240. Its totient is φ = 5410560.

The previous prime is 20804159. The next prime is 20804257. The reversal of 20804220 is 2240802.

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

It is a junction number, because it is equal to n+sod(n) for n = 20804193 and 20804202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5971 + ... + 8789.

It is an arithmetic number, because the mean of its divisors is an integer number (898170).

Almost surely, 220804220 is an apocalyptic number.

20804220 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 20804220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32334120).

20804220 is an abundant number, since it is smaller than the sum of its proper divisors (43864020).

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

20804220 is a wasteful number, since it uses less digits than its factorization.

20804220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2875 (or 2870 counting only the distinct ones).

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

The square root of 20804220 is about 4561.1643250381. The cubic root of 20804220 is about 275.0323708451.

The spelling of 20804220 in words is "twenty million, eight hundred four thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 41 45 60 82 90 123 164 180 205 246 369 410 492 615 738 820 1230 1476 1845 2460 2819 3690 5638 7380 8457 11276 14095 16914 25371 28190 33828 42285 50742 56380 84570 101484 115579 126855 169140 231158 253710 346737 462316 507420 577895 693474 1040211 1155790 1386948 1733685 2080422 2311580 3467370 4160844 5201055 6934740 10402110 20804220