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20327040 = 273253529
BaseRepresentation
bin100110110001…
…0101010000000
31102020201110100
41031202222000
520200431130
62003402400
7334530336
oct115425200
942221410
1020327040
1110524008
126983400
134299246
1429b1b56
151bb7c60
hex1362a80

20327040 has 96 divisors (see below), whose sum is σ = 70211700. Its totient is φ = 5419008.

The previous prime is 20327039. The next prime is 20327117. The reversal of 20327040 is 4072302.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 18455616 + 1871424 = 4296^2 + 1368^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3996 + ... + 7524.

Almost surely, 220327040 is an apocalyptic number.

20327040 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 20327040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35105850).

20327040 is an abundant number, since it is smaller than the sum of its proper divisors (49884660).

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

20327040 is a wasteful number, since it uses less digits than its factorization.

20327040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3554 (or 3539 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 20327040 is about 4508.5518739391. The cubic root of 20327040 is about 272.9133082222.

Adding to 20327040 its reverse (4072302), we get a palindrome (24399342).

The spelling of 20327040 in words is "twenty million, three hundred twenty-seven thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 288 320 360 384 480 576 640 720 960 1152 1440 1920 2880 3529 5760 7058 10587 14116 17645 21174 28232 31761 35290 42348 52935 56464 63522 70580 84696 105870 112928 127044 141160 158805 169392 211740 225856 254088 282320 317610 338784 423480 451712 508176 564640 635220 677568 846960 1016352 1129280 1270440 1355136 1693920 2032704 2258560 2540880 3387840 4065408 5081760 6775680 10163520 20327040