Search a number
-
+
8755000020 = 2234513415717
BaseRepresentation
bin10000010011101011…
…01011001011010100
3211121011002002020000
420021311223023110
5120412240000040
64004430011300
7426646162254
oct101165531324
924534062200
108755000020
113792a73108
121844046b30
13a96a9b6b0
145d0a7b964
15363934130
hex209d6b2d4

8755000020 has 120 divisors (see below), whose sum is σ = 29577504264. Its totient is φ = 2155071744.

The previous prime is 8755000019. The next prime is 8755000021. The reversal of 8755000020 is 200005578.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (8755000019) and next prime (8755000021).

It can be written as a sum of positive squares in 4 ways, for example, as 1237069584 + 7517930436 = 35172^2 + 86706^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8755000021) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 186799 + ... + 228918.

Almost surely, 28755000020 is an apocalyptic number.

It is an amenable number.

8755000020 is an abundant number, since it is smaller than the sum of its proper divisors (20822504244).

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

8755000020 is a wasteful number, since it uses less digits than its factorization.

8755000020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415751 (or 415740 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 8755000020 is about 93568.1570834865. The cubic root of 8755000020 is about 2061.0350800968.

Adding to 8755000020 its reverse (200005578), we get a palindrome (8955005598).

The spelling of 8755000020 in words is "eight billion, seven hundred fifty-five million, twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 81 90 108 117 130 135 156 162 180 195 234 260 270 324 351 390 405 468 540 585 702 780 810 1053 1170 1404 1620 1755 2106 2340 3510 4212 5265 7020 10530 21060 415717 831434 1247151 1662868 2078585 2494302 3741453 4157170 4988604 5404321 6235755 7482906 8314340 10808642 11224359 12471510 14965812 16212963 18707265 21617284 22448718 24943020 27021605 32425926 33673077 37414530 44897436 48638889 54043210 56121795 64851852 67346154 74829060 81064815 97277778 108086420 112243590 134692308 145916667 162129630 168365385 194555556 224487180 243194445 291833334 324259260 336730770 437750001 486388890 583666668 673461540 729583335 875500002 972777780 1459166670 1751000004 2188750005 2918333340 4377500010 8755000020