Search a number
-
+
2662080 = 26354759
BaseRepresentation
bin1010001001111011000000
312000020200120
422021323000
51140141310
6133020240
731425111
oct12117300
95006616
102662080
111559073
12a84680
137228c5
144d4208
15378b70
hex289ec0

2662080 has 112 divisors (see below), whose sum is σ = 8778240. Its totient is φ = 683008.

The previous prime is 2662069. The next prime is 2662097. The reversal of 2662080 is 802662.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2662080.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45091 + ... + 45149.

22662080 is an apocalyptic number.

2662080 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 2662080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4389120).

2662080 is an abundant number, since it is smaller than the sum of its proper divisors (6116160).

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

2662080 is a wasteful number, since it uses less digits than its factorization.

2662080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 2662080 is about 1631.5881833355. The cubic root of 2662080 is about 138.5927038173.

It can be divided in two parts, 266 and 2080, that added together give a triangular number (2346 = T68).

The spelling of 2662080 in words is "two million, six hundred sixty-two thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 47 48 59 60 64 80 94 96 118 120 141 160 177 188 192 235 236 240 282 295 320 354 376 470 472 480 564 590 705 708 752 885 940 944 960 1128 1180 1410 1416 1504 1770 1880 1888 2256 2360 2773 2820 2832 3008 3540 3760 3776 4512 4720 5546 5640 5664 7080 7520 8319 9024 9440 11092 11280 11328 13865 14160 15040 16638 18880 22184 22560 27730 28320 33276 41595 44368 45120 55460 56640 66552 83190 88736 110920 133104 166380 177472 221840 266208 332760 443680 532416 665520 887360 1331040 2662080