Search a number
-
+
20284425 = 3752753
BaseRepresentation
bin100110101100…
…0010000001001
31102011120000000
41031120100021
520143100200
62002433213
7334262160
oct115302011
942146000
1020284425
11104a4a97
126962809
134282a25
1429a03d7
151baa300
hex1358409

20284425 has 96 divisors (see below), whose sum is σ = 43925760. Its totient is φ = 9097920.

The previous prime is 20284421. The next prime is 20284441. The reversal of 20284425 is 52448202.

It is a happy number.

It is not a de Polignac number, because 20284425 - 22 = 20284421 is a prime.

It is a super-2 number, since 2×202844252 = 822915795161250, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20284421) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 382699 + ... + 382751.

It is an arithmetic number, because the mean of its divisors is an integer number (457560).

Almost surely, 220284425 is an apocalyptic number.

20284425 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

20284425 is an abundant number, since it is smaller than the sum of its proper divisors (23641335).

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

20284425 is an frugal number, since it uses more digits than its factorization.

20284425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 20284425 is about 4503.8233757553. The cubic root of 20284425 is about 272.7224567331.

The spelling of 20284425 in words is "twenty million, two hundred eighty-four thousand, four hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 27 35 45 53 63 75 81 105 135 159 175 189 225 243 265 315 371 405 477 525 567 675 729 795 945 1113 1215 1325 1431 1575 1701 1855 2025 2187 2385 2835 3339 3645 3975 4293 4725 5103 5565 6075 7155 8505 9275 10017 10935 11925 12879 14175 15309 16695 18225 21465 25515 27825 30051 35775 38637 42525 50085 54675 64395 76545 83475 90153 107325 115911 127575 150255 193185 250425 270459 321975 382725 450765 579555 751275 811377 965925 1352295 2253825 2897775 4056885 6761475 20284425