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8255280 = 2435115359
BaseRepresentation
bin11111011111011100110000
3120112102010010
4133133130300
54103132110
6452534520
7130111605
oct37373460
916472103
108255280
114729350
122921440
1319306a7
14114c6ac
15ad1020
hex7df730

8255280 has 160 divisors (see below), whose sum is σ = 28926720. Its totient is φ = 1930240.

The previous prime is 8255257. The next prime is 8255287. The reversal of 8255280 is 825528.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (8255287) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 139891 + ... + 139949.

It is an arithmetic number, because the mean of its divisors is an integer number (180792).

Almost surely, 28255280 is an apocalyptic number.

8255280 is a gapful number since it is divisible by the number (80) 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 8255280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14463360).

8255280 is an abundant number, since it is smaller than the sum of its proper divisors (20671440).

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

8255280 is a wasteful number, since it uses less digits than its factorization.

8255280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 30.

The square root of 8255280 is about 2873.2003062787. The cubic root of 8255280 is about 202.1050983985.

It can be divided in two parts, 825 and 5280, that added together give a triangular number (6105 = T110).

The spelling of 8255280 in words is "eight million, two hundred fifty-five thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 53 55 59 60 66 80 88 106 110 118 120 132 159 165 176 177 212 220 236 240 264 265 295 318 330 354 424 440 472 528 530 583 590 636 649 660 708 795 848 880 885 944 1060 1166 1180 1272 1298 1320 1416 1590 1749 1770 1947 2120 2332 2360 2544 2596 2640 2832 2915 3127 3180 3245 3498 3540 3894 4240 4664 4720 5192 5830 6254 6360 6490 6996 7080 7788 8745 9328 9381 9735 10384 11660 12508 12720 12980 13992 14160 15576 15635 17490 18762 19470 23320 25016 25960 27984 31152 31270 34397 34980 37524 38940 46640 46905 50032 51920 62540 68794 69960 75048 77880 93810 103191 125080 137588 139920 150096 155760 171985 187620 206382 250160 275176 343970 375240 412764 515955 550352 687940 750480 825528 1031910 1375880 1651056 2063820 2751760 4127640 8255280