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20136584 = 2313375233
BaseRepresentation
bin100110011010…
…0001010001000
31101220001012102
41030310022020
520123332314
61555332532
7333105146
oct114641210
941801172
1020136584
1110403a06
1268b1148
134230650
142962596
151b7b5de
hex1334288

20136584 has 32 divisors (see below), whose sum is σ = 41767320. Its totient is φ = 9040896.

The previous prime is 20136553. The next prime is 20136593. The reversal of 20136584 is 48563102.

It can be written as a sum of positive squares in 4 ways, for example, as 20052484 + 84100 = 4478^2 + 290^2 .

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1232 + ... + 6464.

Almost surely, 220136584 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 20136584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20883660).

20136584 is an abundant number, since it is smaller than the sum of its proper divisors (21630736).

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

20136584 is a wasteful number, since it uses less digits than its factorization.

20136584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5289 (or 5285 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 20136584 is about 4487.3805276575. The cubic root of 20136584 is about 272.0582703879.

Adding to 20136584 its reverse (48563102), we get a palindrome (68699686).

The spelling of 20136584 in words is "twenty million, one hundred thirty-six thousand, five hundred eighty-four".

Divisors: 1 2 4 8 13 26 37 52 74 104 148 296 481 962 1924 3848 5233 10466 20932 41864 68029 136058 193621 272116 387242 544232 774484 1548968 2517073 5034146 10068292 20136584