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20685312 = 2932672
BaseRepresentation
bin100111011101…
…0001000000000
31102220220220200
41032322020000
520243412222
62015205200
7340552014
oct116721000
942826820
1020685312
11107491aa
126b16800
13439333b
142a66544
151c38eac
hex13ba200

20685312 has 90 divisors (see below), whose sum is σ = 60603543. Its totient is φ = 6792192.

The previous prime is 20685307. The next prime is 20685337. The reversal of 20685312 is 21358602.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 10342656 + 10342656 = 3216^2 + 3216^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=3216.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 308703 + ... + 308769.

Almost surely, 220685312 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 20685312

20685312 is an abundant number, since it is smaller than the sum of its proper divisors (39918231).

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

20685312 is an frugal number, since it uses more digits than its factorization.

20685312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 20685312 is about 4548.1108165919. The cubic root of 20685312 is about 274.5073803345.

The spelling of 20685312 in words is "twenty million, six hundred eighty-five thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 67 72 96 128 134 144 192 201 256 268 288 384 402 512 536 576 603 768 804 1072 1152 1206 1536 1608 2144 2304 2412 3216 4288 4489 4608 4824 6432 8576 8978 9648 12864 13467 17152 17956 19296 25728 26934 34304 35912 38592 40401 51456 53868 71824 77184 80802 102912 107736 143648 154368 161604 215472 287296 308736 323208 430944 574592 646416 861888 1149184 1292832 1723776 2298368 2585664 3447552 5171328 6895104 10342656 20685312