Search a number
-
+
20284992 = 263471343
BaseRepresentation
bin100110101100…
…0011001000000
31102011120210000
41031120121000
520143104432
62002440000
7334263630
oct115303100
942146700
1020284992
11104a5462
126963000
134283070
1429a06c0
151baa57c
hex1358640

20284992 has 280 divisors, whose sum is σ = 75728576. Its totient is φ = 5225472.

The previous prime is 20284981. The next prime is 20285003. The reversal of 20284992 is 29948202.

It is an interprime number because it is at equal distance from previous prime (20284981) and next prime (20285003).

It is a super-2 number, since 2×202849922 = 822961800880128, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 471723 + ... + 471765.

Almost surely, 220284992 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 20284992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37864288).

20284992 is an abundant number, since it is smaller than the sum of its proper divisors (55443584).

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

20284992 is a wasteful number, since it uses less digits than its factorization.

20284992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 20284992 is about 4503.8863218336. The cubic root of 20284992 is about 272.7249977992.

The spelling of 20284992 in words is "twenty million, two hundred eighty-four thousand, nine hundred ninety-two".