Search a number
-
+
20285312 = 27192439
BaseRepresentation
bin100110101100…
…0011110000000
31102011121012212
41031120132000
520143112222
62002441252
7334264565
oct115303600
942147185
1020285312
11104a5723
126963228
134283258
1429a086c
151baa6e2
hex1358780

20285312 has 48 divisors (see below), whose sum is σ = 42748200. Its totient is φ = 9586944.

The previous prime is 20285303. The next prime is 20285327. The reversal of 20285312 is 21358202.

It is a super-2 number, since 2×202853122 = 822987765874688, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 45989 + ... + 46427.

Almost surely, 220285312 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 20285312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21374100).

20285312 is an abundant number, since it is smaller than the sum of its proper divisors (22462888).

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

20285312 is an equidigital number, since it uses as much as digits as its factorization.

20285312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 491 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 20285312 is about 4503.9218465688. The cubic root of 20285312 is about 272.7264318897.

The spelling of 20285312 in words is "twenty million, two hundred eighty-five thousand, three hundred twelve".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 304 361 439 608 722 878 1216 1444 1756 2432 2888 3512 5776 7024 8341 11552 14048 16682 23104 28096 33364 46208 56192 66728 133456 158479 266912 316958 533824 633916 1067648 1267832 2535664 5071328 10142656 20285312