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20083728 = 243728539
BaseRepresentation
bin100110010011…
…1010000010000
31101210100200210
41030213100100
520120134403
61554244120
7332465100
oct114472020
941710623
1020083728
1110378225
126886640
134212582
14294b200
151b6ab03
hex1327410

20083728 has 60 divisors (see below), whose sum is σ = 60360720. Its totient is φ = 5737536.

The previous prime is 20083717. The next prime is 20083729. The reversal of 20083728 is 82738002.

It is a super-2 number, since 2×200837282 = 806712260755968, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20083695 and 20083704.

It is not an unprimeable number, because it can be changed into a prime (20083729) 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, 1918 + ... + 6621.

It is an arithmetic number, because the mean of its divisors is an integer number (1006012).

Almost surely, 220083728 is an apocalyptic number.

20083728 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

20083728 is an abundant number, since it is smaller than the sum of its proper divisors (40276992).

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

20083728 is a wasteful number, since it uses less digits than its factorization.

20083728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8564 (or 8551 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 20083728 is about 4481.4872531337. The cubic root of 20083728 is about 271.8200222299.

The spelling of 20083728 in words is "twenty million, eighty-three thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 294 336 392 588 784 1176 2352 8539 17078 25617 34156 51234 59773 68312 102468 119546 136624 179319 204936 239092 358638 409872 418411 478184 717276 836822 956368 1255233 1434552 1673644 2510466 2869104 3347288 5020932 6694576 10041864 20083728