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8130780 = 223557239
BaseRepresentation
bin11111000001000011011100
3120022002100000
4133001003130
54040141110
6450134300
7126052620
oct37010334
916262300
108130780
114653859
122881390
1318b8b18
141119180
15aa91c0
hex7c10dc

8130780 has 144 divisors (see below), whose sum is σ = 29352960. Its totient is φ = 1850688.

The previous prime is 8130779. The next prime is 8130791. The reversal of 8130780 is 870318.

It is a super-2 number, since 2×81307802 = 132219166816800, which contains 22 as substring.

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

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33901 + ... + 34139.

It is an arithmetic number, because the mean of its divisors is an integer number (203840).

Almost surely, 28130780 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8130780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14676480).

8130780 is an abundant number, since it is smaller than the sum of its proper divisors (21222180).

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

8130780 is a wasteful number, since it uses less digits than its factorization.

8130780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 8130780 is about 2851.4522615678. The cubic root of 8130780 is about 201.0839480038.

The spelling of 8130780 in words is "eight million, one hundred thirty thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 81 84 90 105 108 126 135 140 162 180 189 210 239 243 252 270 315 324 378 405 420 478 486 540 567 630 717 756 810 945 956 972 1134 1195 1215 1260 1434 1620 1673 1701 1890 2151 2268 2390 2430 2835 2868 3346 3402 3585 3780 4302 4780 4860 5019 5670 6453 6692 6804 7170 8365 8505 8604 10038 10755 11340 12906 14340 15057 16730 17010 19359 20076 21510 25095 25812 30114 32265 33460 34020 38718 43020 45171 50190 58077 60228 64530 75285 77436 90342 96795 100380 116154 129060 135513 150570 180684 193590 225855 232308 271026 290385 301140 387180 406539 451710 542052 580770 677565 813078 903420 1161540 1355130 1626156 2032695 2710260 4065390 8130780