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8065980 = 2234513383
BaseRepresentation
bin11110110001001110111100
3120011210110000
4132301032330
54031102410
6444514300
7125362656
oct36611674
916153400
108065980
11460a0aa
12284b990
131895490
1410dd6d6
15a94dc0
hex7b13bc

8065980 has 120 divisors (see below), whose sum is σ = 27320832. Its totient is φ = 1980288.

The previous prime is 8065957. The next prime is 8065987. The reversal of 8065980 is 895608.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8065987) 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, 20869 + ... + 21251.

Almost surely, 28065980 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 8065980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13660416).

8065980 is an abundant number, since it is smaller than the sum of its proper divisors (19254852).

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

8065980 is a wasteful number, since it uses less digits than its factorization.

8065980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 8065980 is about 2840.0669006205. The cubic root of 8065980 is about 200.5483286380.

It can be divided in two parts, 8065 and 980, that added together give a triangular number (9045 = T134).

The spelling of 8065980 in words is "eight million, sixty-five thousand, nine hundred eighty".

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 90 108 117 130 135 156 162 180 195 234 260 270 324 351 383 390 405 468 540 585 702 766 780 810 1053 1149 1170 1404 1532 1620 1755 1915 2106 2298 2340 3447 3510 3830 4212 4596 4979 5265 5745 6894 7020 7660 9958 10341 10530 11490 13788 14937 17235 19916 20682 21060 22980 24895 29874 31023 34470 41364 44811 49790 51705 59748 62046 68940 74685 89622 99580 103410 124092 134433 149370 155115 179244 206820 224055 268866 298740 310230 403299 448110 537732 620460 672165 806598 896220 1344330 1613196 2016495 2688660 4032990 8065980