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20809216 = 2997419
BaseRepresentation
bin100111101100…
…0011000000000
31110011012212201
41033120120000
520311343331
62022002544
7341606161
oct117303000
943135781
1020809216
11108232aa
126b76454
13440785c
142a99768
151c60a61
hex13d8600

20809216 has 40 divisors (see below), whose sum is σ = 42106680. Its totient is φ = 10272768.

The previous prime is 20809213. The next prime is 20809223. The reversal of 20809216 is 61290802.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20809213) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 49455 + ... + 49873.

It is an arithmetic number, because the mean of its divisors is an integer number (1052667).

Almost surely, 220809216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20809216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21053340).

20809216 is an abundant number, since it is smaller than the sum of its proper divisors (21297464).

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

20809216 is an frugal number, since it uses more digits than its factorization.

20809216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534 (or 518 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 20809216 is about 4561.7119593416. The cubic root of 20809216 is about 275.0543848363.

It can be divided in two parts, 20809 and 216, that added together give a square (21025 = 1452).

The spelling of 20809216 in words is "twenty million, eight hundred nine thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 32 64 97 128 194 256 388 419 512 776 838 1552 1676 3104 3352 6208 6704 12416 13408 24832 26816 40643 49664 53632 81286 107264 162572 214528 325144 650288 1300576 2601152 5202304 10404608 20809216