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20740328 = 2372157337
BaseRepresentation
bin100111100011…
…1100011101000
31110000201101022
41033013203220
520302142303
62020312012
7341201300
oct117074350
943021338
1020740328
1110786574
126b42608
1343b23ab
142a7c600
151c4a438
hex13c78e8

20740328 has 48 divisors (see below), whose sum is σ = 45660420. Its totient is φ = 8805888.

The previous prime is 20740297. The next prime is 20740351. The reversal of 20740328 is 82304702.

It can be written as a sum of positive squares in 2 ways, for example, as 19695844 + 1044484 = 4438^2 + 1022^2 .

It is a super-2 number, since 2×207403282 = 860322411095168, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20740297 and 20740306.

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 11 ways as a sum of consecutive naturals, for example, 61376 + ... + 61712.

Almost surely, 220740328 is an apocalyptic number.

20740328 is a gapful number since it is divisible by the number (28) 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 20740328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22830210).

20740328 is an abundant number, since it is smaller than the sum of its proper divisors (24920092).

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

20740328 is a wasteful number, since it uses less digits than its factorization.

20740328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 26.

The square root of 20740328 is about 4554.1550259077. The cubic root of 20740328 is about 274.7505307845.

The spelling of 20740328 in words is "twenty million, seven hundred forty thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 14 28 49 56 98 157 196 314 337 392 628 674 1099 1256 1348 2198 2359 2696 4396 4718 7693 8792 9436 15386 16513 18872 30772 33026 52909 61544 66052 105818 132104 211636 370363 423272 740726 1481452 2592541 2962904 5185082 10370164 20740328