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20183840 = 2551011249
BaseRepresentation
bin100110011111…
…1101100100000
31101222110000122
41030333230200
520131340330
62000335412
7333363005
oct114775440
941873018
1020183840
1110436466
126914568
134249001
1429758ac
151b8a5e5
hex133fb20

20183840 has 48 divisors (see below), whose sum is σ = 48195000. Its totient is φ = 7987200.

The previous prime is 20183837. The next prime is 20183851. The reversal of 20183840 is 4838102.

It can be written as a sum of positive squares in 4 ways, for example, as 19254544 + 929296 = 4388^2 + 964^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15536 + ... + 16784.

Almost surely, 220183840 is an apocalyptic number.

20183840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20183840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24097500).

20183840 is an abundant number, since it is smaller than the sum of its proper divisors (28011160).

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

20183840 is a wasteful number, since it uses less digits than its factorization.

20183840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1365 (or 1357 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 20183840 is about 4492.6428747453. The cubic root of 20183840 is about 272.2709238301.

The spelling of 20183840 in words is "twenty million, one hundred eighty-three thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 101 160 202 404 505 808 1010 1249 1616 2020 2498 3232 4040 4996 6245 8080 9992 12490 16160 19984 24980 39968 49960 99920 126149 199840 252298 504596 630745 1009192 1261490 2018384 2522980 4036768 5045960 10091920 20183840