Search a number
-
+
20283984 = 2432720123
BaseRepresentation
bin100110101100…
…0001001010000
31102011112101200
41031120021100
520143041414
62002431200
7334260660
oct115301120
942145350
1020283984
11104a4726
126962500
134282776
1429a01a0
151baa109
hex1358250

20283984 has 60 divisors (see below), whose sum is σ = 64879776. Its totient is φ = 5795136.

The previous prime is 20283983. The next prime is 20283997. The reversal of 20283984 is 48938202.

It is a super-2 number, since 2×202839842 = 822880013824512, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20283983) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9054 + ... + 11069.

Almost surely, 220283984 is an apocalyptic number.

20283984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20283984 is an abundant number, since it is smaller than the sum of its proper divisors (44595792).

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

20283984 is a wasteful number, since it uses less digits than its factorization.

20283984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20144 (or 20135 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 20283984 is about 4503.7744170862. The cubic root of 20283984 is about 272.7204803157.

The spelling of 20283984 in words is "twenty million, two hundred eighty-three thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 20123 40246 60369 80492 120738 140861 160984 181107 241476 281722 321968 362214 422583 482952 563444 724428 845166 965904 1126888 1267749 1448856 1690332 2253776 2535498 2897712 3380664 5070996 6761328 10141992 20283984