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20816704 = 261719253
BaseRepresentation
bin100111101101…
…0001101000000
31110011121011001
41033122031000
520312113304
62022101344
7341640046
oct117321500
943147131
1020816704
1110828997
126b7a854
13440b09c
142a9c396
151c62da4
hex13da340

20816704 has 84 divisors (see below), whose sum is σ = 47032164. Its totient is φ = 9105408.

The previous prime is 20816701. The next prime is 20816759. The reversal of 20816704 is 40761802.

It can be written as a sum of positive squares in 2 ways, for example, as 15618304 + 5198400 = 3952^2 + 2280^2 .

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20816701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 392742 + ... + 392794.

Almost surely, 220816704 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 20816704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23516082).

20816704 is an abundant number, since it is smaller than the sum of its proper divisors (26215460).

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

20816704 is a wasteful number, since it uses less digits than its factorization.

20816704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 20816704 is about 4562.5326300203. The cubic root of 20816704 is about 275.0873727880.

The spelling of 20816704 in words is "twenty million, eight hundred sixteen thousand, seven hundred four".

Divisors: 1 2 4 8 16 17 19 32 34 38 53 64 68 76 106 136 152 212 272 304 323 361 424 544 608 646 722 848 901 1007 1088 1216 1292 1444 1696 1802 2014 2584 2888 3392 3604 4028 5168 5776 6137 7208 8056 10336 11552 12274 14416 16112 17119 19133 20672 23104 24548 28832 32224 34238 38266 49096 57664 64448 68476 76532 98192 136952 153064 196384 273904 306128 325261 392768 547808 612256 650522 1095616 1224512 1301044 2602088 5204176 10408352 20816704